108928 has 32 divisors (see below), whose sum is σ = 232560. Its totient is φ = 50688.

The previous prime is 108923. The next prime is 108929. The reversal of 108928 is 829801.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 108896 and 108905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2926 + ... + 2962.

2¹⁰⁸⁹²⁸ 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 108928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116280).

108928 is an abundant number, since it is smaller than the sum of its proper divisors (123632).

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

108928 is an equidigital number, since it uses as much as digits as its factorization.

108928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 108928 is about 330.0424215158. The cubic root of 108928 is about 47.7580416452.

Subtracting from 108928 its sum of digits (28), we obtain a square (108900 = 330²).

The spelling of 108928 in words is "one hundred eight thousand, nine hundred twenty-eight".