328728419344 has 120 divisors (see below), whose sum is σ = 715141103040. Its totient is φ = 146142936576.

The previous prime is 328728419233. The next prime is 328728419359. The reversal of 328728419344 is 443914827823.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34733557 + ... + 34743019.

It is an arithmetic number, because the mean of its divisors is an integer number (5959509192).

Almost surely, 2^328728419344 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 328728419344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357570551520).

328728419344 is an abundant number, since it is smaller than the sum of its proper divisors (386412683696).

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

328728419344 is a wasteful number, since it uses less digits than its factorization.

328728419344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9969 (or 9950 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 55.

It can be divided in two parts, 32872 and 8419344, that added together give a triangular number (8452216 = T₄₁₁₁).

The spelling of 328728419344 in words is "three hundred twenty-eight billion, seven hundred twenty-eight million, four hundred nineteen thousand, three hundred forty-four".