328105984 has 128 divisors (see below), whose sum is σ = 754963200. Its totient is φ = 141557760.

The previous prime is 328105969. The next prime is 328105991. The reversal of 328105984 is 489501823.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10584049 + ... + 10584079.

It is an arithmetic number, because the mean of its divisors is an integer number (5898150).

Almost surely, 2^328105984 is an apocalyptic number.

328105984 is a gapful number since it is divisible by the number (34) 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 328105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377481600).

328105984 is an abundant number, since it is smaller than the sum of its proper divisors (426857216).

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

328105984 is an equidigital number, since it uses as much as digits as its factorization.

328105984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 328105984 is about 18113.6960336647. The cubic root of 328105984 is about 689.7177197231.

The spelling of 328105984 in words is "three hundred twenty-eight million, one hundred five thousand, nine hundred eighty-four".