328833120 has 576 divisors, whose sum is σ = 1389975552. Its totient is φ = 64512000.

The previous prime is 328833107. The next prime is 328833157. The reversal of 328833120 is 21338823.

328833120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8020300 + ... + 8020340.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152).

Almost surely, 2^328833120 is an apocalyptic number.

328833120 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 328833120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694987776).

328833120 is an abundant number, since it is smaller than the sum of its proper divisors (1061142432).

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

328833120 is a wasteful number, since it uses less digits than its factorization.

328833120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 328833120 is about 18133.7563676145. The cubic root of 328833120 is about 690.2268525253.

The spelling of 328833120 in words is "three hundred twenty-eight million, eight hundred thirty-three thousand, one hundred twenty".