531331328 has 108 divisors (see below), whose sum is σ = 1235567340. Its totient is φ = 227082240.

The previous prime is 531331279. The next prime is 531331337. The reversal of 531331328 is 823133135.

It can be written as a sum of positive squares in 2 ways, for example, as 291453184 + 239878144 = 17072^2 + 15488^2 .

It is a super-2 number, since 2×531331328² = 564625960228487168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 531331328.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 526088 + ... + 527096.

Almost surely, 2^531331328 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 531331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617783670).

531331328 is an abundant number, since it is smaller than the sum of its proper divisors (704236012).

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

531331328 is a wasteful number, since it uses less digits than its factorization.

531331328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1039 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 531331328 is about 23050.6253277433. The cubic root of 531331328 is about 809.9442770182.

The spelling of 531331328 in words is "five hundred thirty-one million, three hundred thirty-one thousand, three hundred twenty-eight".