228813923520 has 2688 divisors, whose sum is σ = 1131866265600. Its totient is φ = 42233757696.

The previous prime is 228813923479. The next prime is 228813923549. The reversal of 228813923520 is 25329318822.

228813923520 is a `hidden beast` number, since 2 + 28 + 8 + 13 + 92 + 3 + 520 = 666.

228813923520 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 383 ways as a sum of consecutive naturals, for example, 4317243814 + ... + 4317243866.

It is an arithmetic number, because the mean of its divisors is an integer number (421081200).

Almost surely, 2^228813923520 is an apocalyptic number.

228813923520 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 228813923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565933132800).

228813923520 is an abundant number, since it is smaller than the sum of its proper divisors (903052342080).

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

228813923520 is a wasteful number, since it uses less digits than its factorization.

228813923520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 228813923520 in words is "two hundred twenty-eight billion, eight hundred thirteen million, nine hundred twenty-three thousand, five hundred twenty".