22928790528 has 880 divisors, whose sum is σ = 87312639744. Its totient is φ = 5839257600.

The previous prime is 22928790527. The next prime is 22928790539. The reversal of 22928790528 is 82509782922.

22928790528 is a `hidden beast` number, since 2 + 2 + 9 + 28 + 7 + 90 + 528 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22928790523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 227017678 + ... + 227017778.

Almost surely, 2^22928790528 is an apocalyptic number.

22928790528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22928790528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43656319872).

22928790528 is an abundant number, since it is smaller than the sum of its proper divisors (64383849216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22928790528 is a wasteful number, since it uses less digits than its factorization.

22928790528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 22928790528 in words is "twenty-two billion, nine hundred twenty-eight million, seven hundred ninety thousand, five hundred twenty-eight".