328381824 has 64 divisors (see below), whose sum is σ = 874621440. Its totient is φ = 109165056.

The previous prime is 328381789. The next prime is 328381831. The reversal of 328381824 is 428183823.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

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, 176869 + ... + 178715.

It is an arithmetic number, because the mean of its divisors is an integer number (13665960).

Almost surely, 2^328381824 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 328381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437310720).

328381824 is an abundant number, since it is smaller than the sum of its proper divisors (546239616).

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

328381824 is a wasteful number, since it uses less digits than its factorization.

328381824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2315 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 328381824 is about 18121.3085620217. The cubic root of 328381824 is about 689.9109483898.

The spelling of 328381824 in words is "three hundred twenty-eight million, three hundred eighty-one thousand, eight hundred twenty-four".