328479111072 has 216 divisors, whose sum is σ = 1087581507012. Its totient is φ = 93768192000.

The previous prime is 328479111047. The next prime is 328479111083. The reversal of 328479111072 is 270111974823.

328479111072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 311940122256 + 16538988816 = 558516^2 + 128604^2 .

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, 16938822 + ... + 16958202.

Almost surely, 2^328479111072 is an apocalyptic number.

328479111072 is a gapful number since it is divisible by the number (32) 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 328479111072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543790753506).

328479111072 is an abundant number, since it is smaller than the sum of its proper divisors (759102395940).

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

328479111072 is a wasteful number, since it uses less digits than its factorization.

328479111072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20612 (or 20594 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 328479111072 in words is "three hundred twenty-eight billion, four hundred seventy-nine million, one hundred eleven thousand, seventy-two".