228032 has 28 divisors (see below), whose sum is σ = 518160. Its totient is φ = 97536.

The previous prime is 228023. The next prime is 228049. The reversal of 228032 is 230822.

228032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a cake number, because a cake can be divided into 228032 parts by 111 planar cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 228032.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228032.

It is an unprimeable number.

228032 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 3 ways as a sum of consecutive naturals, for example, 194 + ... + 702.

2²²⁸⁰³² 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 228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259080).

228032 is an abundant number, since it is smaller than the sum of its proper divisors (290128).

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

228032 is an equidigital number, since it uses as much as digits as its factorization.

228032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 228032 is about 477.5269625895. The cubic root of 228032 is about 61.0940053746.

Adding to 228032 its reverse (230822), we get a palindrome (458854).

The spelling of 228032 in words is "two hundred twenty-eight thousand, thirty-two".