531807328 has 96 divisors (see below), whose sum is σ = 1204670880. Its totient is φ = 228925440.

The previous prime is 531807323. The next prime is 531807337. The reversal of 531807328 is 823708135.

It is a super-2 number, since 2×531807328² = 565638068228999168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531807323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982738 + ... + 983278.

It is an arithmetic number, because the mean of its divisors is an integer number (12548655).

Almost surely, 2^531807328 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 531807328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602335440).

531807328 is an abundant number, since it is smaller than the sum of its proper divisors (672863552).

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

531807328 is a wasteful number, since it uses less digits than its factorization.

531807328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 531807328 is about 23060.9481158082. The cubic root of 531807328 is about 810.1860711583.

The spelling of 531807328 in words is "five hundred thirty-one million, eight hundred seven thousand, three hundred twenty-eight".