1,2,4,8,16,22,24,28

The sequence provided is 1, 2, 4, 8, 16, 22, 24, 28. Let's *yze the pattern step-by-step:

1. Initial Terms (Powers of Two):

The first five terms (1, 2, 4, 8, 16) are powers of 2: (2^0, 2^1, 2^2, 2^3, 2^4).

2. Transition to Hexadecimal Increments:

After 16, the sequence diverges from powers of 2. Observing the differences between terms:

These differences (6, 2, 4) correspond to hexadecimal increments. Specifically:

3. Continuing the Pattern:

The next step follows the same hexadecimal logic. After (1C_{16}) (28 in decimal), add 8 in hexadecimal:

Next Term:

The next number in the sequence is 36.

Final Answer:

boxed{36}