228872 has 32 divisors (see below), whose sum is σ = 505920. Its totient is φ = 95040.

The previous prime is 228869. The next prime is 228881. The reversal of 228872 is 278822.

228872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3383 + ... + 3449.

It is an arithmetic number, because the mean of its divisors is an integer number (15810).

2²²⁸⁸⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252960).

228872 is an abundant number, since it is smaller than the sum of its proper divisors (277048).

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

228872 is a wasteful number, since it uses less digits than its factorization.

228872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 228872 is about 478.4056855849. The cubic root of 228872 is about 61.1689306463.

The spelling of 228872 in words is "two hundred twenty-eight thousand, eight hundred seventy-two".