22828000 has 96 divisors (see below), whose sum is σ = 60540480. Its totient is φ = 8409600.

The previous prime is 22827989. The next prime is 22828007. The reversal of 22828000 is 82822.

It is a super-2 number, since 2×22828000² = 1042235168000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22828007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51781 + ... + 52219.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 2^22828000 is an apocalyptic number.

22828000 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 22828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30270240).

22828000 is an abundant number, since it is smaller than the sum of its proper divisors (37712480).

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

22828000 is a wasteful number, since it uses less digits than its factorization.

22828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 22828000 is about 4777.8656322672. The cubic root of 22828000 is about 283.6760175069.

The spelling of 22828000 in words is "twenty-two million, eight hundred twenty-eight thousand".