108528 has 80 divisors (see below), whose sum is σ = 357120. Its totient is φ = 27648.

The previous prime is 108517. The next prime is 108529. The reversal of 108528 is 825801.

108528 = 42² + 43² + ... + 73².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 108498 and 108507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108529) by changing a digit.

108528 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 15 ways as a sum of consecutive naturals, for example, 5703 + ... + 5721.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2¹⁰⁸⁵²⁸ 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 108528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

108528 is an abundant number, since it is smaller than the sum of its proper divisors (248592).

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

108528 is a wasteful number, since it uses less digits than its factorization.

108528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 108528 is about 329.4358814701. The cubic root of 108528 is about 47.6995117056.

It can be divided in two parts, 108 and 528, that added together give a palindrome (636).

The spelling of 108528 in words is "one hundred eight thousand, five hundred twenty-eight".