22568437728 has 360 divisors, whose sum is σ = 71098806240. Its totient is φ = 7020794880.

The previous prime is 22568437693. The next prime is 22568437799. The reversal of 22568437728 is 82773486522.

22568437728 is a `hidden beast` number, since 2 + 2 + 568 + 4 + 3 + 7 + 72 + 8 = 666.

It is a super-2 number, since 2×22568437728² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (9031680) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 83278233 + ... + 83278503.

It is an arithmetic number, because the mean of its divisors is an integer number (197496684).

Almost surely, 2^22568437728 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 22568437728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35549403120).

22568437728 is an abundant number, since it is smaller than the sum of its proper divisors (48530368512).

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

22568437728 is a wasteful number, since it uses less digits than its factorization.

22568437728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 384 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 22568437728 in words is "twenty-two billion, five hundred sixty-eight million, four hundred thirty-seven thousand, seven hundred twenty-eight".