22628160 has 196 divisors, whose sum is σ = 81620868. Its totient is φ = 5971968.

The previous prime is 22628131. The next prime is 22628231. The reversal of 22628160 is 6182622.

22628160 is a `hidden beast` number, since 22 + 628 + 16 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 13483584 = 3024^2 + 3672^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 233232 + ... + 233328.

It is an arithmetic number, because the mean of its divisors is an integer number (416433).

Almost surely, 2^22628160 is an apocalyptic number.

22628160 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 22628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40810434).

22628160 is an abundant number, since it is smaller than the sum of its proper divisors (58992708).

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

22628160 is an frugal number, since it uses more digits than its factorization.

22628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22628160 is about 4756.9065578378. The cubic root of 22628160 is about 282.8458082825.

The spelling of 22628160 in words is "twenty-two million, six hundred twenty-eight thousand, one hundred sixty".