22931328 has 128 divisors (see below), whose sum is σ = 73440000. Its totient is φ = 6193152.

The previous prime is 22931327. The next prime is 22931357. The reversal of 22931328 is 82313922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 22931295 and 22931304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22931327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50848 + ... + 51296.

It is an arithmetic number, because the mean of its divisors is an integer number (573750).

Almost surely, 2^22931328 is an apocalyptic number.

22931328 is a gapful number since it is divisible by the number (28) 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 22931328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36720000).

22931328 is an abundant number, since it is smaller than the sum of its proper divisors (50508672).

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

22931328 is a wasteful number, since it uses less digits than its factorization.

22931328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 22931328 is about 4788.6666202608. Note that the first 4 decimals coincide. The cubic root of 22931328 is about 284.1033809968.

The spelling of 22931328 in words is "twenty-two million, nine hundred thirty-one thousand, three hundred twenty-eight".