531328 has 32 divisors (see below), whose sum is σ = 1211760. Its totient is φ = 227328.

The previous prime is 531299. The next prime is 531331. The reversal of 531328 is 823135.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 531299 and 531308.

It is a congruent number.

It is an unprimeable number.

531328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 600 + ... + 1192.

2⁵³¹³²⁸ 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 531328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605880).

531328 is an abundant number, since it is smaller than the sum of its proper divisors (680432).

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

531328 is an equidigital number, since it uses as much as digits as its factorization.

531328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 602 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 531328 is about 728.9224924503. The cubic root of 531328 is about 80.9942585983.

The spelling of 531328 in words is "five hundred thirty-one thousand, three hundred twenty-eight".