22628864 has 40 divisors (see below), whose sum is σ = 45646260. Its totient is φ = 11206656.

The previous prime is 22628863. The next prime is 22628897. The reversal of 22628864 is 46882622.

It can be written as a sum of positive squares in 2 ways, for example, as 22278400 + 350464 = 4720^2 + 592^2 .

It is not an unprimeable number, because it can be changed into a prime (22628861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98702 + ... + 98930.

Almost surely, 2^22628864 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 22628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823130).

22628864 is an abundant number, since it is smaller than the sum of its proper divisors (23017396).

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

22628864 is an equidigital number, since it uses as much as digits as its factorization.

22628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 22628864 is about 4756.9805549319. The cubic root of 22628864 is about 282.8487415212.

The spelling of 22628864 in words is "twenty-two million, six hundred twenty-eight thousand, eight hundred sixty-four".