diff --git a/arkouda/numpy/numeric.py b/arkouda/numpy/numeric.py
index 94c7c2d0ecd..2206ad4059a 100644
--- a/arkouda/numpy/numeric.py
+++ b/arkouda/numpy/numeric.py
@@ -3767,7 +3767,7 @@ def minimum(x1: Union[pdarray, numeric_scalars], x2: Union[pdarray, numeric_scal
 
     if np.isscalar(tx1) and isinstance(tx2, pdarray):
         return (
-            full(nan, tx2.size) if np.isnan(tx1) else where(isnan(tx2), tx2, where(tx1 < tx2, tx1, tx2))
+            full(tx2.size, nan) if np.isnan(tx1) else where(isnan(tx2), tx2, where(tx1 < tx2, tx1, tx2))
         )
 
     # if tx2 was a scalar, then tx1 isn't (they can't both be, at this point).
@@ -3855,7 +3855,7 @@ def maximum(x1: Union[pdarray, numeric_scalars], x2: Union[pdarray, numeric_scal
 
     if np.isscalar(tx1) and isinstance(tx2, pdarray):
         return (
-            full(nan, tx2.size) if np.isnan(tx1) else where(isnan(tx2), tx2, where(tx1 > tx2, tx1, tx2))
+            full(tx2.size, nan) if np.isnan(tx1) else where(isnan(tx2), tx2, where(tx1 > tx2, tx1, tx2))
         )
 
     # if tx2 was a scalar, then tx1 isn't (they can't both be, at this point).
diff --git a/arkouda/numpy/pdarraycreation.py b/arkouda/numpy/pdarraycreation.py
index fa7e409fae2..8ee9208c506 100644
--- a/arkouda/numpy/pdarraycreation.py
+++ b/arkouda/numpy/pdarraycreation.py
@@ -34,8 +34,10 @@
     is_supported_int,
     is_supported_number,
     numeric_scalars,
+    numeric_and_bool_scalars,
     resolve_scalar_dtype,
     str_,
+    str_scalars,
 )
 from arkouda.numpy.dtypes import dtype as akdtype
 from arkouda.numpy.dtypes import int64 as akint64
@@ -702,7 +704,7 @@ def ones(
     size: Union[int_scalars, Tuple[int_scalars, ...], str],
     dtype: Union[np.dtype, type, str, bigint] = float64,
     max_bits: Optional[int] = None,
-) -> pdarray:
+) -> Union[pdarray, Strings]:
     """
     Create a pdarray filled with ones.
 
@@ -757,11 +759,47 @@ def ones(
     return full(size=size, fill_value=1, dtype=dtype, max_bits=max_bits)
 
 
+@overload
+def full(
+    size: Union[int_scalars, Tuple[int_scalars, ...], str],
+    fill_value: str_scalars,
+    dtype: None = ...,
+    max_bits: Optional[int] = ...,
+) -> Strings: ...
+
+
+@overload
+def full(
+    size: Union[int_scalars, Tuple[int_scalars, ...], str],
+    fill_value: Union[numeric_and_bool_scalars, str_scalars],
+    dtype: str,
+    max_bits: Optional[int] = ...,
+) -> Strings: ...
+
+
+@overload
+def full(
+    size: Union[int_scalars, Tuple[int_scalars, ...], str],
+    fill_value: Union[numeric_and_bool_scalars],
+    dtype: None = ...,
+    max_bits: Optional[int] = ...,
+) -> pdarray: ...
+
+
+@overload
+def full(
+    size: Union[int_scalars, Tuple[int_scalars, ...], str],
+    fill_value: Union[numeric_and_bool_scalars, str_scalars],
+    dtype: Union[np.dtype, type, bigint],
+    max_bits: Optional[int] = ...,
+) -> pdarray: ...
+
+
 @typechecked
 def full(
     size: Union[int_scalars, Tuple[int_scalars, ...], str],
-    fill_value: Union[numeric_scalars, np.bool, str],
-    dtype: Union[np.dtype, type, str, bigint] = float64,
+    fill_value: Union[numeric_and_bool_scalars, str_scalars],
+    dtype: Union[None, np.dtype, type, str, bigint] = None,
     max_bits: Optional[int] = None,
 ) -> Union[pdarray, Strings]:
     """
@@ -771,10 +809,10 @@ def full(
     ----------
     size: int_scalars or tuple of int_scalars
         Size or shape of the array
-    fill_value: int_scalars or str
+    fill_value: numeric_scalars, bool_scalars or str_scalars
         Value with which the array will be filled
     dtype: all_scalars
-        Resulting array type, default float64
+        Resulting array type.  If None, it will be inferred from fill_value
     max_bits: int
         Specifies the maximum number of bits; only used for bigint pdarrays
 
@@ -793,6 +831,7 @@ def full(
 
     ValueError
         Raised if the rank of the given shape is not in get_array_ranks() or is empty
+        Raised if a multi-dim Strings array was requested
         Raised if max_bits is not NONE and ndim does not equal 1
 
     See Also
@@ -813,32 +852,44 @@ def full(
     array([True True True True True])
     """
     from arkouda.client import generic_msg, get_array_ranks
-    from arkouda.numpy.dtypes import dtype as ak_dtype
     from arkouda.numpy.pdarrayclass import create_pdarray
+    from arkouda.numpy.util import _infer_shape_from_size  # placed here to avoid circ import
 
-    if isinstance(fill_value, str):
-        return _full_string(size, fill_value)
-    elif ak_dtype(dtype) == str_ or dtype == Strings:
-        return _full_string(size, str_(fill_value))
+    #  Process the arguments (size, fill_value, dtype) before choosing an action.
 
-    dtype = dtype if dtype is not None else resolve_scalar_dtype(fill_value)
+    shape, ndim, full_size = _infer_shape_from_size(size)
+    fv_dtype = akdtype(resolve_scalar_dtype(fill_value))  # derived from fill_value
+    dtype = dtype if dtype is not None else fv_dtype  # must allow it to be None
+
+    if isinstance(dtype, bigint) or isinstance(dtype, np.dtype):
+        dtype_name = dtype.name
+    elif isinstance(dtype, type) or isinstance(dtype, str):
+        dtype_name = akdtype(dtype).name
+    else:
+        raise TypeError(f"Unsupported dtype {dtype!r}")
+
+    #  The only string cases.
+
+    if dtype == Strings or akdtype(dtype) == str_:
+        if ndim != 1:
+            raise ValueError(f"Size parameter {size} incompatible with Strings.")
+        else:
+            if isinstance(fill_value, float):  # needed to match numpy, which
+                fill_value = int(fill_value)  # truncates floats to ints before "str"
+            return _full_string(full_size, str(fill_value))
+
+    #  Remaining cases are all numeric.  Check dtype for error
 
-    dtype = akdtype(dtype)  # normalize dtype
-    dtype_name = dtype.name if isinstance(dtype, bigint) else cast(np.dtype, dtype).name
-    # check dtype for error
     if dtype_name not in NumericDTypes:
-        raise TypeError(f"unsupported dtype {dtype}")
-    from arkouda.numpy.util import (
-        _infer_shape_from_size,  # placed here to avoid circ import
-    )
+        raise TypeError(f"Unsupported dtype {dtype} in ak.full")
 
-    shape, ndim, full_size = _infer_shape_from_size(size)
+    #  dtype is supported.  Two more checks.
 
     if ndim not in get_array_ranks():
-        raise ValueError(f"array rank {ndim} not in compiled ranks {get_array_ranks()}")
+        raise ValueError(f"Array rank {ndim} not in compiled ranks {get_array_ranks()}")
 
     if isinstance(shape, tuple) and len(shape) == 0:
-        raise ValueError("size () not currently supported in ak.full.")
+        raise ValueError("Empty shape () not currently supported in ak.full.")
 
     rep_msg = generic_msg(cmd=f"create<{dtype_name},{ndim}>", args={"shape": shape})
 
@@ -1408,11 +1459,11 @@ def linspace(
     if endpoint is None:
         endpoint = True
 
+    #   First make sure everything's a float.
+
     start_ = start
     stop_ = stop
 
-    #   First make sure everything's a float.
-
     if isinstance(start_, pdarray):
         start_ = start_.astype(float64)
     elif isinstance(start_, int):
@@ -1471,7 +1522,10 @@ def linspace(
     else:
         if axis == 0:
             delta = (stop_ - start_) / divisor
-            result = full(num, start_) + arange(num).astype(float64) * delta
+            if isinstance(start_, (int, float, np.number)):  # required for mypy
+                result = full(num, start_) + arange(num).astype(float64) * delta
+            else:  # this should be impossible to reach
+                raise TypeError("Non-numeric start value found in linspace.")
         else:
             raise ValueError("axis should not be supplied when start and stop are scalars.")
 
diff --git a/arkouda/numpy/util.py b/arkouda/numpy/util.py
index 4bd36d95162..d2a12f3b50f 100644
--- a/arkouda/numpy/util.py
+++ b/arkouda/numpy/util.py
@@ -698,6 +698,7 @@ def broadcast_to(x: Union[numeric_scalars, pdarray], shape: Union[int, Tuple[int
     from arkouda.numpy.pdarraycreation import full as akfull
 
     if _val_isinstance_of_union(x, numeric_scalars):
+        assert not isinstance(x, pdarray)  # Required for mypy
         return akfull(shape, x, dtype=type(x))
     elif isinstance(x, pdarray) and isinstance(shape, int):
         if x.ndim == 1 and x.size == shape:
@@ -1012,6 +1013,7 @@ def map(
         xtra_keys = gb_keys[in1d(gb_keys, mapping.index.values, invert=True)]
 
         if xtra_keys.size > 0:
+            nans: Union[pdarray, Strings]  # without this, mypy complains
             if not isinstance(mapping.values, (Strings, Categorical)):
                 nans = full(xtra_keys.size, np.nan, mapping.values.dtype)
             else:
diff --git a/arkouda/pandas/extension/_arkouda_array.py b/arkouda/pandas/extension/_arkouda_array.py
index e422519341d..a043953ca1d 100644
--- a/arkouda/pandas/extension/_arkouda_array.py
+++ b/arkouda/pandas/extension/_arkouda_array.py
@@ -194,7 +194,7 @@ def isna(self) -> ExtensionArray | ndarray[Any, Any]:
         from arkouda.numpy.util import is_float
 
         if not is_float(self._data):
-            return ak_full(self._data.size, False, dtype=bool)
+            return ArkoudaArray(ak_full(self._data.size, False, dtype=bool))
 
         return isnan(self._data)
 
diff --git a/tests/pandas/extension/arkouda_array_extension.py b/tests/pandas/extension/arkouda_array_extension.py
index 0de5df06d12..68d689aeb1a 100644
--- a/tests/pandas/extension/arkouda_array_extension.py
+++ b/tests/pandas/extension/arkouda_array_extension.py
@@ -168,7 +168,7 @@ def test_isna(self):
         ak_data = ak.arange(10)
         arr = ArkoudaArray(ak_data)
         na = arr.isna()
-        assert ak.all(na == False)
+        assert (na == False).all()
 
     def test_isna_with_nan(self):
         from arkouda.testing import assert_equal