328978944 has 360 divisors, whose sum is σ = 1164354048. Its totient is φ = 89026560.

The previous prime is 328978933. The next prime is 328978967. The reversal of 328978944 is 449879823.

328978944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 6999529 + ... + 6999575.

Almost surely, 2^328978944 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 328978944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582177024).

328978944 is an abundant number, since it is smaller than the sum of its proper divisors (835375104).

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

328978944 is a wasteful number, since it uses less digits than its factorization.

328978944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 328978944 is about 18137.7767105012. The cubic root of 328978944 is about 690.3288665458.

The spelling of 328978944 in words is "three hundred twenty-eight million, nine hundred seventy-eight thousand, nine hundred forty-four".