328720 has 40 divisors (see below), whose sum is σ = 874944. Its totient is φ = 112512.

The previous prime is 328709. The next prime is 328721. The reversal of 328720 is 27823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a d-powerful number, because it can be written as 3² + 2¹⁰ + 7 + 8⁶ + 2¹⁶ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 328691 and 328700.

It is not an unprimeable number, because it can be changed into a prime (328721) by changing a digit.

328720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267 + ... + 853.

2³²⁸⁷²⁰ 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 328720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472).

328720 is an abundant number, since it is smaller than the sum of its proper divisors (546224).

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

328720 is a wasteful number, since it uses less digits than its factorization.

328720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 328720 is about 573.3410852189. The cubic root of 328720 is about 69.0147696451.

The spelling of 328720 in words is "three hundred twenty-eight thousand, seven hundred twenty".