22854572928 has 768 divisors, whose sum is σ = 80223897600. Its totient is φ = 6386688000.

The previous prime is 22854572927. The next prime is 22854572947. The reversal of 22854572928 is 82927545822.

22854572928 is a `hidden beast` number, since 2 + 2 + 8 + 545 + 7 + 2 + 92 + 8 = 666.

It is a super-4 number, since 4×22854572928⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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

Its product of digits (6451200) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22854572927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 531501675 + ... + 531501717.

It is an arithmetic number, because the mean of its divisors is an integer number (104458200).

Almost surely, 2^22854572928 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 22854572928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40111948800).

22854572928 is an abundant number, since it is smaller than the sum of its proper divisors (57369324672).

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

22854572928 is a wasteful number, since it uses less digits than its factorization.

22854572928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 22854572928 in words is "twenty-two billion, eight hundred fifty-four million, five hundred seventy-two thousand, nine hundred twenty-eight".