228000624768 has 384 divisors, whose sum is σ = 796591635840. Its totient is φ = 63551692800.

The previous prime is 228000624767. The next prime is 228000624791. The reversal of 228000624768 is 867426000822.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (228000624767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8914078 + ... + 8939618.

It is an arithmetic number, because the mean of its divisors is an integer number (2074457385).

Almost surely, 2^228000624768 is an apocalyptic number.

228000624768 is a gapful number since it is divisible by the number (28) 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 228000624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398295817920).

228000624768 is an abundant number, since it is smaller than the sum of its proper divisors (568591011072).

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

228000624768 is an equidigital number, since it uses as much as digits as its factorization.

228000624768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25618 (or 25594 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 228000624768 in words is "two hundred twenty-eight billion, six hundred twenty-four thousand, seven hundred sixty-eight".