10528 has 24 divisors (see below), whose sum is σ = 24192. Its totient is φ = 4416.

The previous prime is 10513. The next prime is 10529. The reversal of 10528 is 82501.

It is a happy number.

It is a super-2 number, since 2×10528² = 221677568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10529) by changing a digit.

10528 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, 201 + ... + 247.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

2¹⁰⁵²⁸ 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 10528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096).

10528 is an abundant number, since it is smaller than the sum of its proper divisors (13664).

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

10528 is an equidigital number, since it uses as much as digits as its factorization.

10528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 10528 is about 102.6060427070. The cubic root of 10528 is about 21.9170429527.

The spelling of 10528 in words is "ten thousand, five hundred twenty-eight".