228576 has 24 divisors (see below), whose sum is σ = 600264. Its totient is φ = 76160.

The previous prime is 228559. The next prime is 228577. The reversal of 228576 is 675822.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228577) by changing a digit.

228576 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1095 + ... + 1286.

It is an arithmetic number, because the mean of its divisors is an integer number (25011).

2²²⁸⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

228576 is an abundant number, since it is smaller than the sum of its proper divisors (371688).

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

228576 is a wasteful number, since it uses less digits than its factorization.

228576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2386 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 228576 is about 478.0962246243. The cubic root of 228576 is about 61.1425493581.

It can be divided in two parts, 228 and 576, that multiplied together give a triangular number (131328 = T₅₁₂).

The spelling of 228576 in words is "two hundred twenty-eight thousand, five hundred seventy-six".