228615782400 has 1008 divisors, whose sum is σ = 936168206400. Its totient is φ = 54358179840.

The previous prime is 228615782359. The next prime is 228615782471. The reversal of 228615782400 is 4287516822.

228615782400 is a `hidden beast` number, since 2 + 2 + 8 + 615 + 7 + 8 + 24 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12032409591 + ... + 12032409609.

It is an arithmetic number, because the mean of its divisors is an integer number (928738300).

Almost surely, 2^228615782400 is an apocalyptic number.

228615782400 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 228615782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468084103200).

228615782400 is an abundant number, since it is smaller than the sum of its proper divisors (707552424000).

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

228615782400 is an frugal number, since it uses more digits than its factorization.

228615782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 228615782400 in words is "two hundred twenty-eight billion, six hundred fifteen million, seven hundred eighty-two thousand, four hundred".