A storage cube that has an edge length of 16 centimeters is being packed in a cardboard box with a length of 28 centimeters, a width of 18 centimeters, and a height of 22 centimeters. The extra space is filled with packing peanuts. The packing peanuts cost $0.002 per cubic centimeter. How much will it cost to fill the extra space with packing peanuts?