328986 has 36 divisors (see below), whose sum is σ = 831402. Its totient is φ = 93744.

The previous prime is 328981. The next prime is 329009. The reversal of 328986 is 689823.

328986 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 275625 + 53361 = 525^2 + 231^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 328986.

It is not an unprimeable number, because it can be changed into a prime (328981) 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 17 ways as a sum of consecutive naturals, for example, 696 + ... + 1068.

2³²⁸⁹⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415701).

328986 is an abundant number, since it is smaller than the sum of its proper divisors (502416).

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

328986 is a wasteful number, since it uses less digits than its factorization.

328986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 328986 is about 573.5730119174. The cubic root of 328986 is about 69.0333801943.

It can be divided in two parts, 3289 and 86, that added together give a cube (3375 = 15³).

The spelling of 328986 in words is "three hundred twenty-eight thousand, nine hundred eighty-six".