328512 has 56 divisors (see below), whose sum is σ = 914400. Its totient is φ = 103936.

The previous prime is 328511. The next prime is 328513. The reversal of 328512 is 215823.

328512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (328511) and next prime (328513).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328512.

It is not an unprimeable number, because it can be changed into a prime (328511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5539 + ... + 5597.

328512 is a Friedman number, since it can be written as (8^2+5)^(2+1)+3, using all its digits and the basic arithmetic operations.

2³²⁸⁵¹² is an apocalyptic number.

328512 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 328512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457200).

328512 is an abundant number, since it is smaller than the sum of its proper divisors (585888).

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

328512 is a wasteful number, since it uses less digits than its factorization.

328512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 328512 is about 573.1596636191. The cubic root of 328512 is about 69.0002100393. Note that the first 3 decimals are identical.

The spelling of 328512 in words is "three hundred twenty-eight thousand, five hundred twelve".