228928 has 42 divisors (see below), whose sum is σ = 535686. Its totient is φ = 96768.

The previous prime is 228923. The next prime is 228929. The reversal of 228928 is 829822.

228928 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 200704 + 28224 = 448^2 + 168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 228928.

It is not an unprimeable number, because it can be changed into a prime (228923) by changing a digit.

228928 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 5 ways as a sum of consecutive naturals, for example, 3100 + ... + 3172.

2²²⁸⁹²⁸ is an apocalyptic number.

228928 is a gapful number since it is divisible by the number (28) 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 228928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267843).

228928 is an abundant number, since it is smaller than the sum of its proper divisors (306758).

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

228928 is an equidigital number, since it uses as much as digits as its factorization.

228928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

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

The square root of 228928 is about 478.4642097378. The cubic root of 228928 is about 61.1739191418.

It can be divided in two parts, 228 and 928, that added together give a square (1156 = 34²).

The spelling of 228928 in words is "two hundred twenty-eight thousand, nine hundred twenty-eight".