22428880400 has 60 divisors (see below), whose sum is σ = 54010248852. Its totient is φ = 8950763520.

The previous prime is 22428880381. The next prime is 22428880469. The reversal of 22428880400 is 408882422.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7837206784 + 14591673616 = 88528^2 + 120796^2 .

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, 108452 + ... + 237948.

Almost surely, 2^22428880400 is an apocalyptic number.

22428880400 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 22428880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27005124426).

22428880400 is an abundant number, since it is smaller than the sum of its proper divisors (31581368452).

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

22428880400 is a wasteful number, since it uses less digits than its factorization.

22428880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129948 (or 129937 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The spelling of 22428880400 in words is "twenty-two billion, four hundred twenty-eight million, eight hundred eighty thousand, four hundred".