328431360 has 216 divisors, whose sum is σ = 1096033680. Its totient is φ = 83804160.

The previous prime is 328431353. The next prime is 328431371. The reversal of 328431360 is 63134823.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3690196 + ... + 3690284.

It is an arithmetic number, because the mean of its divisors is an integer number (5074230).

Almost surely, 2^328431360 is an apocalyptic number.

328431360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548016840).

328431360 is an abundant number, since it is smaller than the sum of its proper divisors (767602320).

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

328431360 is an equidigital number, since it uses as much as digits as its factorization.

328431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 328431360 is about 18122.6752991935. The cubic root of 328431360 is about 689.9456373890.

The spelling of 328431360 in words is "three hundred twenty-eight million, four hundred thirty-one thousand, three hundred sixty".