328960 has 36 divisors (see below), whose sum is σ = 791028. Its totient is φ = 131072.

The previous prime is 328931. The next prime is 328961. The reversal of 328960 is 69823.

328960 is digitally balanced in base 3, 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 246016 + 82944 = 496^2 + 288^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328961) by changing a digit.

In principle, a polygon with 328960 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1152 + ... + 1408.

It is an arithmetic number, because the mean of its divisors is an integer number (21973).

2³²⁸⁹⁶⁰ 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 328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395514).

328960 is an abundant number, since it is smaller than the sum of its proper divisors (462068).

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

328960 is an equidigital number, since it uses as much as digits as its factorization.

328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 328960 is about 573.5503465259. The cubic root of 328960 is about 69.0315615605.

The spelling of 328960 in words is "three hundred twenty-eight thousand, nine hundred sixty".