228032188800 has 192 divisors, whose sum is σ = 808856927760. Its totient is φ = 56130969600.

The previous prime is 228032188781. The next prime is 228032188819. The reversal of 228032188800 is 8881230822.

228032188800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228032188781) and next prime (228032188819).

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 788791 + ... + 1038390.

Almost surely, 2^228032188800 is an apocalyptic number.

228032188800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228032188800 is an abundant number, since it is smaller than the sum of its proper divisors (580824738960).

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

228032188800 is a wasteful number, since it uses less digits than its factorization.

228032188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827221 (or 1827204 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 228032188800 in words is "two hundred twenty-eight billion, thirty-two million, one hundred eighty-eight thousand, eight hundred".