22364928 has 108 divisors (see below), whose sum is σ = 68396328. Its totient is φ = 7004160.

The previous prime is 22364917. The next prime is 22364933. The reversal of 22364928 is 82946322.

22364928 is a `hidden beast` number, since 2 + 2 + 3 + 649 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 22364892 and 22364901.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38883 + ... + 39453.

Almost surely, 2^22364928 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 22364928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34198164).

22364928 is an abundant number, since it is smaller than the sum of its proper divisors (46031400).

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

22364928 is a wasteful number, since it uses less digits than its factorization.

22364928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 593 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 22364928 is about 4729.1572187865. The cubic root of 22364928 is about 281.7447516820.

The spelling of 22364928 in words is "twenty-two million, three hundred sixty-four thousand, nine hundred twenty-eight".