328120128 has 168 divisors, whose sum is σ = 1138318272. Its totient is φ = 88215552.

The previous prime is 328120087. The next prime is 328120183. The reversal of 328120128 is 821021823.

328120128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66151 + ... + 70937.

It is an arithmetic number, because the mean of its divisors is an integer number (6775704).

Almost surely, 2^328120128 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 328120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569159136).

328120128 is an abundant number, since it is smaller than the sum of its proper divisors (810198144).

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

328120128 is a wasteful number, since it uses less digits than its factorization.

328120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 328120128 is about 18114.0864522614. The cubic root of 328120128 is about 689.7276303695.

It can be divided in two parts, 3281 and 20128, that added together give a square (23409 = 153²).

The spelling of 328120128 in words is "three hundred twenty-eight million, one hundred twenty thousand, one hundred twenty-eight".