328972 has 24 divisors (see below), whose sum is σ = 680960. Its totient is φ = 136080.

The previous prime is 328961. The next prime is 328981. The reversal of 328972 is 279823.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an Ulam number.

It is an unprimeable number.

328972 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, 679 + ... + 1057.

2³²⁸⁹⁷² 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 328972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340480).

328972 is an abundant number, since it is smaller than the sum of its proper divisors (351988).

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

328972 is a wasteful number, since it uses less digits than its factorization.

328972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 328972 is about 573.5608075871. The cubic root of 328972 is about 69.0324009419.

The spelling of 328972 in words is "three hundred twenty-eight thousand, nine hundred seventy-two".