328108320 has 336 divisors, whose sum is σ = 1214672760. Its totient is φ = 83607552.

The previous prime is 328108289. The next prime is 328108337. The reversal of 328108320 is 23801823.

328108320 is a `hidden beast` number, since 328 + 10 + 8 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 258952464 + 69155856 = 16092^2 + 8316^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3382512 + ... + 3382608.

Almost surely, 2^328108320 is an apocalyptic number.

328108320 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 328108320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607336380).

328108320 is an abundant number, since it is smaller than the sum of its proper divisors (886564440).

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

328108320 is an equidigital number, since it uses as much as digits as its factorization.

328108320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 328108320 is about 18113.7605151443. The cubic root of 328108320 is about 689.7193565689.

The spelling of 328108320 in words is "three hundred twenty-eight million, one hundred eight thousand, three hundred twenty".