528352 has 48 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 224640.

The previous prime is 528329. The next prime is 528373. The reversal of 528352 is 253825.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6649 + ... + 6727.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁵²⁸³⁵² 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 528352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

528352 is an abundant number, since it is smaller than the sum of its proper divisors (681248).

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

528352 is a wasteful number, since it uses less digits than its factorization.

528352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 528352 is about 726.8782566565. The cubic root of 528352 is about 80.8427574893.

It can be divided in two parts, 5283 and 52, that added together give a palindrome (5335).

The spelling of 528352 in words is "five hundred twenty-eight thousand, three hundred fifty-two".