228648284800 has 96 divisors (see below), whose sum is σ = 608281497180. Its totient is φ = 84423966720.

The previous prime is 228648284783. The next prime is 228648284831. The reversal of 228648284800 is 8482846822.

228648284800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1226120256 + 227422164544 = 35016^2 + 476888^2 .

It is a super-2 number, since 2×228648284800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2706577 + ... + 2789776.

Almost surely, 2^228648284800 is an apocalyptic number.

228648284800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228648284800 is an abundant number, since it is smaller than the sum of its proper divisors (379633212380).

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

228648284800 is a wasteful number, since it uses less digits than its factorization.

228648284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496390 (or 5496373 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 52.

The spelling of 228648284800 in words is "two hundred twenty-eight billion, six hundred forty-eight million, two hundred eighty-four thousand, eight hundred".