328835072 has 56 divisors (see below), whose sum is σ = 664691076. Its totient is φ = 162660352.

The previous prime is 328835057. The next prime is 328835083. The reversal of 328835072 is 270538823.

It can be written as a sum of positive squares in 2 ways, for example, as 296390656 + 32444416 = 17216^2 + 5696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1122158 + ... + 1122450.

Almost surely, 2^328835072 is an apocalyptic number.

328835072 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 328835072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332345538).

328835072 is an abundant number, since it is smaller than the sum of its proper divisors (335856004).

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

328835072 is an equidigital number, since it uses as much as digits as its factorization.

328835072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 328835072 is about 18133.8101898084. The cubic root of 328835072 is about 690.2282182840.

The spelling of 328835072 in words is "three hundred twenty-eight million, eight hundred thirty-five thousand, seventy-two".