22964928 has 84 divisors (see below), whose sum is σ = 70710552. Its totient is φ = 6558720.

The previous prime is 22964927. The next prime is 22964951. The reversal of 22964928 is 82946922.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 22964928.

It is not an unprimeable number, because it can be changed into a prime (22964927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8188 + ... + 10628.

Almost surely, 2^22964928 is an apocalyptic number.

22964928 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 22964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35355276).

22964928 is an abundant number, since it is smaller than the sum of its proper divisors (47745624).

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

22964928 is a wasteful number, since it uses less digits than its factorization.

22964928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2453 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 22964928 is about 4792.1736195593. The cubic root of 22964928 is about 284.2420735756.

The spelling of 22964928 in words is "twenty-two million, nine hundred sixty-four thousand, nine hundred twenty-eight".