22828160 has 64 divisors (see below), whose sum is σ = 55685880. Its totient is φ = 8945664.

The previous prime is 22828153. The next prime is 22828171. The reversal of 22828160 is 6182822.

It can be written as a sum of positive squares in 4 ways, for example, as 18731584 + 4096576 = 4328^2 + 2024^2 .

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

It is a super-2 number, since 2×22828160² = 1042249777971200, which contains 22 as substring.

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, 33584 + ... + 34256.

Almost surely, 2^22828160 is an apocalyptic number.

22828160 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 22828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27842940).

22828160 is an abundant number, since it is smaller than the sum of its proper divisors (32857720).

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

22828160 is an equidigital number, since it uses as much as digits as its factorization.

22828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 22828160 is about 4777.8823761160. The cubic root of 22828160 is about 283.6766802611.

The spelling of 22828160 in words is "twenty-two million, eight hundred twenty-eight thousand, one hundred sixty".