528528 has 120 divisors (see below), whose sum is σ = 1847104. Its totient is φ = 126720.

The previous prime is 528527. The next prime is 528559. The reversal of 528528 is 825825.

It is a Cunningham number, because it is equal to 727²-1.

It is an Ulam number.

It is a nialpdrome in base 11 and base 14.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 528495 and 528504.

It is not an unprimeable number, because it can be changed into a prime (528527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40650 + ... + 40662.

2⁵²⁸⁵²⁸ 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 528528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923552).

528528 is an abundant number, since it is smaller than the sum of its proper divisors (1318576).

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

528528 is a wasteful number, since it uses less digits than its factorization.

528528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 36 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 528528 is about 726.9993122418. Note that the first 3 decimals coincide. The cubic root of 528528 is about 80.8517330370.

Multiplying 528528 by its reverse (825825), we get a square (436471635600 = 660660²).

The spelling of 528528 in words is "five hundred twenty-eight thousand, five hundred twenty-eight".