22928000 has 64 divisors (see below), whose sum is σ = 57044520. Its totient is φ = 9164800.

The previous prime is 22927999. The next prime is 22928011. The reversal of 22928000 is 82922.

It can be written as a sum of positive squares in 4 ways, for example, as 10705984 + 12222016 = 3272^2 + 3496^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15284 + ... + 16716.

Almost surely, 2^22928000 is an apocalyptic number.

22928000 is a gapful number since it is divisible by the number (20) 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 22928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28522260).

22928000 is an abundant number, since it is smaller than the sum of its proper divisors (34116520).

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

22928000 is an equidigital number, since it uses as much as digits as its factorization.

22928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 22928000 is about 4788.3191205265. The cubic root of 22928000 is about 284.0896364549.

The spelling of 22928000 in words is "twenty-two million, nine hundred twenty-eight thousand".