328162320 has 160 divisors (see below), whose sum is σ = 1139510400. Its totient is φ = 86800896.

The previous prime is 328162279. The next prime is 328162327. The reversal of 328162320 is 23261823.

328162320 is a `hidden beast` number, since 3 + 281 + 62 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (328162327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299694 + ... + 300786.

It is an arithmetic number, because the mean of its divisors is an integer number (7121940).

Almost surely, 2^328162320 is an apocalyptic number.

328162320 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 328162320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569755200).

328162320 is an abundant number, since it is smaller than the sum of its proper divisors (811348080).

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

328162320 is a wasteful number, since it uses less digits than its factorization.

328162320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 328162320 is about 18115.2510333144. The cubic root of 328162320 is about 689.7571924501.

The spelling of 328162320 in words is "three hundred twenty-eight million, one hundred sixty-two thousand, three hundred twenty".