328382320 has 120 divisors (see below), whose sum is σ = 935096400. Its totient is φ = 106638336.

The previous prime is 328382311. The next prime is 328382333. The reversal of 328382320 is 23283823.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72276 + ... + 76684.

It is an arithmetic number, because the mean of its divisors is an integer number (7792470).

Almost surely, 2^328382320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467548200).

328382320 is an abundant number, since it is smaller than the sum of its proper divisors (606714080).

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

328382320 is a wasteful number, since it uses less digits than its factorization.

328382320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 328382320 is about 18121.3222475624. The cubic root of 328382320 is about 689.9112957453.

The spelling of 328382320 in words is "three hundred twenty-eight million, three hundred eighty-two thousand, three hundred twenty".