In a large bowl, combine the hash browns, bacon, 1 and 1/2 cups of cheese, salt, and pepper. Spoon into a greased 13x9 baking dish. In the same large bowl, whisk eggs and milk until smooth; pour over hash brown mixture. Bake, uncovered, at 350° for 45-50 minutes until a knife inserted near the center comes out clean. Sprinkle with the remaining 1/2 cup of cheese.