228928000 has 240 divisors, whose sum is σ = 673142184. Its totient is φ = 77414400.

The previous prime is 228927997. The next prime is 228928031. The reversal of 228928000 is 829822.

It can be written as a sum of positive squares in 4 ways, for example, as 74373376 + 154554624 = 8624^2 + 12432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3135964 + ... + 3136036.

Almost surely, 2^228928000 is an apocalyptic number.

228928000 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 228928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336571092).

228928000 is an abundant number, since it is smaller than the sum of its proper divisors (444214184).

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

228928000 is an frugal number, since it uses more digits than its factorization.

228928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 228928000 is about 15130.3668164391. The cubic root of 228928000 is about 611.7391914176.

The spelling of 228928000 in words is "two hundred twenty-eight million, nine hundred twenty-eight thousand".