Prepare your favorite graham pie crust or use store-bought crust.
Preheat the oven to 350º Fahrenheit.
Using an electric mixer, in a large bowl combine the cream cheese, 1/4 cup granulated sugar, and 1 egg. Beat on medium-low speed until smooth.
Spread the cream cheese mixture on top of the graham pie crust.
In a mixing bowl, combine the pure pumpkin, brown sugar and pumpkin spice.
Beat in 4 eggs, one at a time.
Gradually mix in the half and half cream. Blend until smooth and combined.
Slowly pour the pumpkin mixture over the cheesecake layer.
Cover the pie with a pie crust shield, or foil to prevent the edges from over cooking.
Bake about 1 hour or until knife inserted near center comes out clean.
Cool on a wire rack. Cover and refrigerate.
Top with whipped cream prior to serving.