22628880 has 120 divisors (see below), whose sum is σ = 77559768. Its totient is φ = 5910528.

The previous prime is 22628863. The next prime is 22628897. The reversal of 22628880 is 8882622.

22628880 is a `hidden beast` number, since 22 + 628 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22628863) and next prime (22628897).

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 17539344 = 2256^2 + 4188^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37864 + ... + 38456.

Almost surely, 2^22628880 is an apocalyptic number.

22628880 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 22628880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38779884).

22628880 is an abundant number, since it is smaller than the sum of its proper divisors (54930888).

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

22628880 is a wasteful number, since it uses less digits than its factorization.

22628880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 22628880 is about 4756.9822366706. The cubic root of 22628880 is about 282.8488081850.

The spelling of 22628880 in words is "twenty-two million, six hundred twenty-eight thousand, eight hundred eighty".