328672 has 12 divisors (see below), whose sum is σ = 647136. Its totient is φ = 164320.

The previous prime is 328667. The next prime is 328687. The reversal of 328672 is 276823.

328672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 328672.

It is a congruent number.

It is an unprimeable number.

328672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 5104 + ... + 5167.

It is an arithmetic number, because the mean of its divisors is an integer number (53928).

2³²⁸⁶⁷² is an apocalyptic number.

328672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

328672 is a deficient number, since it is larger than the sum of its proper divisors (318464).

328672 is a wasteful number, since it uses less digits than its factorization.

328672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10281 (or 10273 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 328672 is about 573.2992237916. The cubic root of 328672 is about 69.0114102813.

It can be divided in two parts, 328 and 672, that added together give a cube (1000 = 10³).

The spelling of 328672 in words is "three hundred twenty-eight thousand, six hundred seventy-two".