328211520 has 504 divisors, whose sum is σ = 1369917504. Its totient is φ = 65175552.

The previous prime is 328211501. The next prime is 328211573. The reversal of 328211520 is 25112823.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19306552 + ... + 19306568.

Almost surely, 2^328211520 is an apocalyptic number.

328211520 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 328211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684958752).

328211520 is an abundant number, since it is smaller than the sum of its proper divisors (1041705984).

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

328211520 is a wasteful number, since it uses less digits than its factorization.

328211520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 328211520 is about 18116.6089542166. The cubic root of 328211520 is about 689.7916615283.

The spelling of 328211520 in words is "three hundred twenty-eight million, two hundred eleven thousand, five hundred twenty".