228752 has 30 divisors (see below), whose sum is σ = 486018. Its totient is φ = 103936.

The previous prime is 228751. The next prime is 228757. The reversal of 228752 is 257822.

It can be written as a sum of positive squares in 3 ways, for example, as 65536 + 163216 = 256^2 + 404^2 .

It is not an unprimeable number, because it can be changed into a prime (228751) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7874 + ... + 7902.

2²²⁸⁷⁵² 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 228752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243009).

228752 is an abundant number, since it is smaller than the sum of its proper divisors (257266).

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

228752 is a wasteful number, since it uses less digits than its factorization.

228752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 48 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 228752 is about 478.2802525716. The cubic root of 228752 is about 61.1582382726.

The spelling of 228752 in words is "two hundred twenty-eight thousand, seven hundred fifty-two".