328814304 has 288 divisors, whose sum is σ = 1142225280. Its totient is φ = 81865728.

The previous prime is 328814263. The next prime is 328814333. The reversal of 328814304 is 403418823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1161747 + ... + 1162029.

It is an arithmetic number, because the mean of its divisors is an integer number (3966060).

Almost surely, 2^328814304 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 328814304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571112640).

328814304 is an abundant number, since it is smaller than the sum of its proper divisors (813410976).

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

328814304 is a wasteful number, since it uses less digits than its factorization.

328814304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 328814304 is about 18133.2375487666. The cubic root of 328814304 is about 690.2136872292.

The spelling of 328814304 in words is "three hundred twenty-eight million, eight hundred fourteen thousand, three hundred four".