228918140928 has 560 divisors, whose sum is σ = 715927139136. Its totient is φ = 72831467520.

The previous prime is 228918140911. The next prime is 228918140959. The reversal of 228918140928 is 829041819822.

228918140928 is a `hidden beast` number, since 228 + 9 + 1 + 8 + 1 + 409 + 2 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2025824200 + ... + 2025824312.

Almost surely, 2^228918140928 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 228918140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357963569568).

228918140928 is an abundant number, since it is smaller than the sum of its proper divisors (487008998208).

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

228918140928 is an equidigital number, since it uses as much as digits as its factorization.

228918140928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 228918140928 in words is "two hundred twenty-eight billion, nine hundred eighteen million, one hundred forty thousand, nine hundred twenty-eight".