99528 has 64 divisors (see below), whose sum is σ = 302400. Its totient is φ = 26880.

The previous prime is 99527. The next prime is 99529. The reversal of 99528 is 82599.

It is an interprime number because it is at equal distance from previous prime (99527) and next prime (99529).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99528.

It is not an unprimeable number, because it can be changed into a prime (99523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3418 + ... + 3446.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2⁹⁹⁵²⁸ 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 99528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

99528 is an abundant number, since it is smaller than the sum of its proper divisors (202872).

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

99528 is a wasteful number, since it uses less digits than its factorization.

99528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 58 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 99528 is about 315.4805857735. The cubic root of 99528 is about 46.3427454727.

The spelling of 99528 in words is "ninety-nine thousand, five hundred twenty-eight".