22428400 has 60 divisors (see below), whose sum is σ = 55076832. Its totient is φ = 8773120.

The previous prime is 22428383. The next prime is 22428431. The reversal of 22428400 is 482422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18204 + ... + 19396.

Almost surely, 2^22428400 is an apocalyptic number.

22428400 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 22428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27538416).

22428400 is an abundant number, since it is smaller than the sum of its proper divisors (32648432).

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

22428400 is a wasteful number, since it uses less digits than its factorization.

22428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 22428400 is about 4735.8631736992. The cubic root of 22428400 is about 282.0110318773.

The spelling of 22428400 in words is "twenty-two million, four hundred twenty-eight thousand, four hundred".