532728 has 72 divisors (see below), whose sum is σ = 1689480. Its totient is φ = 151200.

The previous prime is 532709. The next prime is 532733. The reversal of 532728 is 827235.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable 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 17 ways as a sum of consecutive naturals, for example, 3453 + ... + 3603.

It is an arithmetic number, because the mean of its divisors is an integer number (23465).

2⁵³²⁷²⁸ 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 532728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844740).

532728 is an abundant number, since it is smaller than the sum of its proper divisors (1156752).

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

532728 is a wasteful number, since it uses less digits than its factorization.

532728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

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

The square root of 532728 is about 729.8821822733. The cubic root of 532728 is about 81.0653336625.

The spelling of 532728 in words is "five hundred thirty-two thousand, seven hundred twenty-eight".