22656528 has 60 divisors (see below), whose sum is σ = 64899120. Its totient is φ = 7374528.

The previous prime is 22656523. The next prime is 22656551. The reversal of 22656528 is 82565622.

It is a super-2 number, since 2×22656528² = 1026636522029568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22656492 and 22656501.

It is not an unprimeable number, because it can be changed into a prime (22656521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4363 + ... + 8021.

It is an arithmetic number, because the mean of its divisors is an integer number (1081652).

Almost surely, 2^22656528 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 22656528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32449560).

22656528 is an abundant number, since it is smaller than the sum of its proper divisors (42242592).

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

22656528 is a wasteful number, since it uses less digits than its factorization.

22656528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3707 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 22656528 is about 4759.8873936260. The cubic root of 22656528 is about 282.9639563364.

The spelling of 22656528 in words is "twenty-two million, six hundred fifty-six thousand, five hundred twenty-eight".