22501628928 has 308 divisors, whose sum is σ = 69107915448. Its totient is φ = 7315660800.

The previous prime is 22501628909. The next prime is 22501628977. The reversal of 22501628928 is 82982610522.

22501628928 is a `hidden beast` number, since 2 + 2 + 501 + 62 + 89 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 32098978 + ... + 32099678.

Almost surely, 2^22501628928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22501628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34553957724).

22501628928 is an abundant number, since it is smaller than the sum of its proper divisors (46606286520).

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

22501628928 is an frugal number, since it uses more digits than its factorization.

22501628928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 22501628928 in words is "twenty-two billion, five hundred one million, six hundred twenty-eight thousand, nine hundred twenty-eight".