528732 has 36 divisors (see below), whose sum is σ = 1408680. Its totient is φ = 166752.

The previous prime is 528719. The next prime is 528763. The reversal of 528732 is 237825.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 528696 and 528705.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528732.

It is an unprimeable number.

528732 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298 + ... + 1070.

It is an arithmetic number, because the mean of its divisors is an integer number (39130).

2⁵²⁸⁷³² 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 528732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704340).

528732 is an abundant number, since it is smaller than the sum of its proper divisors (879948).

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

528732 is a wasteful number, since it uses less digits than its factorization.

528732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 797 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 528732 is about 727.1396014522. The cubic root of 528732 is about 80.8621340198.

The spelling of 528732 in words is "five hundred twenty-eight thousand, seven hundred thirty-two".