228528 has 60 divisors (see below), whose sum is σ = 685720. Its totient is φ = 72864.

The previous prime is 228523. The next prime is 228539. The reversal of 228528 is 825822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (228521) by changing a digit.

228528 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 11 ways as a sum of consecutive naturals, for example, 9925 + ... + 9947.

228528 is a Friedman number, since it can be written as 828^2/(5-2), using all its digits and the basic arithmetic operations.

2²²⁸⁵²⁸ 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 228528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342860).

228528 is an abundant number, since it is smaller than the sum of its proper divisors (457192).

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

228528 is a wasteful number, since it uses less digits than its factorization.

228528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 228528 is about 478.0460228890. The cubic root of 228528 is about 61.1382691657.

Multiplying 228528 by its sum of digits (27), we get a square (6170256 = 2484²).

228528 divided by its sum of digits (27) gives a square (8464 = 92²).

The spelling of 228528 in words is "two hundred twenty-eight thousand, five hundred twenty-eight".