528032 has 24 divisors (see below), whose sum is σ = 1077300. Its totient is φ = 254464.

The previous prime is 528013. The next prime is 528041. The reversal of 528032 is 230825.

It can be written as a sum of positive squares in 2 ways, for example, as 512656 + 15376 = 716^2 + 124^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 527995 and 528013.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528032.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 644 + ... + 1212.

2⁵²⁸⁰³² 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 528032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538650).

528032 is an abundant number, since it is smaller than the sum of its proper divisors (549268).

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

528032 is a wasteful number, since it uses less digits than its factorization.

528032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 528032 is about 726.6581039251. The cubic root of 528032 is about 80.8264332037.

Adding to 528032 its reverse (230825), we get a palindrome (758857).

The spelling of 528032 in words is "five hundred twenty-eight thousand, thirty-two".