328017312 has 216 divisors, whose sum is σ = 1134465696. Its totient is φ = 88049664.

The previous prime is 328017281. The next prime is 328017323. The reversal of 328017312 is 213710823.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 582343 + ... + 582905.

It is an arithmetic number, because the mean of its divisors is an integer number (5252156).

Almost surely, 2^328017312 is an apocalyptic number.

328017312 is a gapful number since it is divisible by the number (32) 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 328017312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567232848).

328017312 is an abundant number, since it is smaller than the sum of its proper divisors (806448384).

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

328017312 is a wasteful number, since it uses less digits than its factorization.

328017312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 328017312 is about 18111.2482176133. The cubic root of 328017312 is about 689.6555811023.

It can be divided in two parts, 328017 and 312, that added together give a square (328329 = 573²).

The spelling of 328017312 in words is "three hundred twenty-eight million, seventeen thousand, three hundred twelve".