22638432 has 48 divisors (see below), whose sum is σ = 61350912. Its totient is φ = 7301760.

The previous prime is 22638397. The next prime is 22638457. The reversal of 22638432 is 23483622.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22638432.

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 7 ways as a sum of consecutive naturals, for example, 828 + ... + 6779.

It is an arithmetic number, because the mean of its divisors is an integer number (1278144).

Almost surely, 2^22638432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22638432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30675456).

22638432 is an abundant number, since it is smaller than the sum of its proper divisors (38712480).

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

22638432 is a wasteful number, since it uses less digits than its factorization.

22638432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651 (or 7643 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 22638432 is about 4757.9861286053. The cubic root of 22638432 is about 282.8886008711. Note that the first 3 decimals are identical.

The spelling of 22638432 in words is "twenty-two million, six hundred thirty-eight thousand, four hundred thirty-two".