328812 has 48 divisors (see below), whose sum is σ = 870912. Its totient is φ = 95680.

The previous prime is 328789. The next prime is 328813. The reversal of 328812 is 218823.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328812.

It is not an unprimeable number, because it can be changed into a prime (328813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6178 + ... + 6230.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2³²⁸⁸¹² 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 328812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

328812 is an abundant number, since it is smaller than the sum of its proper divisors (542100).

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

328812 is a wasteful number, since it uses less digits than its factorization.

328812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 116 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 328812 is about 573.4213110794. The cubic root of 328812 is about 69.0212075118.

It can be divided in two parts, 3 and 28812, that multiplied together give a square (86436 = 294²).

The spelling of 328812 in words is "three hundred twenty-eight thousand, eight hundred twelve".