22928824800 has 648 divisors, whose sum is σ = 99611811936. Its totient is φ = 4931297280.

The previous prime is 22928824777. The next prime is 22928824811. The reversal of 22928824800 is 842882922.

22928824800 is a `hidden beast` number, since 2 + 2 + 92 + 8 + 82 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5995689 + ... + 5999511.

It is an arithmetic number, because the mean of its divisors is an integer number (153721932).

Almost surely, 2^22928824800 is an apocalyptic number.

22928824800 is a gapful number since it is divisible by the number (20) 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 22928824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49805905968).

22928824800 is an abundant number, since it is smaller than the sum of its proper divisors (76682987136).

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

22928824800 is a wasteful number, since it uses less digits than its factorization.

22928824800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 22928824800 in words is "twenty-two billion, nine hundred twenty-eight million, eight hundred twenty-four thousand, eight hundred".