228592 has 40 divisors (see below), whose sum is σ = 548576. Its totient is φ = 89856.

The previous prime is 228587. The next prime is 228593. The reversal of 228592 is 295822.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 228592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228593) by changing a digit.

228592 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1378 + ... + 1534.

2²²⁸⁵⁹² 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 228592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274288).

228592 is an abundant number, since it is smaller than the sum of its proper divisors (319984).

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

228592 is a wasteful number, since it uses less digits than its factorization.

228592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 228592 is about 478.1129573647. The cubic root of 228592 is about 61.1439759558.

It can be divided in two parts, 228 and 592, that added together give a triangular number (820 = T₄₀).

The spelling of 228592 in words is "two hundred twenty-eight thousand, five hundred ninety-two".