228972960 has 96 divisors (see below), whose sum is σ = 801420480. Its totient is φ = 61058304.

The previous prime is 228972937. The next prime is 228972973. The reversal of 228972960 is 69279822.

228972960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×228972960² = 104857232822323200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 22182 + ... + 30821.

It is an arithmetic number, because the mean of its divisors is an integer number (8348130).

Almost surely, 2^228972960 is an apocalyptic number.

228972960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228972960 is an abundant number, since it is smaller than the sum of its proper divisors (572447520).

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

228972960 is a wasteful number, since it uses less digits than its factorization.

228972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53027 (or 53013 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 228972960 is about 15131.8524972985. The cubic root of 228972960 is about 611.7792360222.

The spelling of 228972960 in words is "two hundred twenty-eight million, nine hundred seventy-two thousand, nine hundred sixty".