328986112 has 160 divisors (see below), whose sum is σ = 846945792. Its totient is φ = 124084224.

The previous prime is 328986101. The next prime is 328986131. The reversal of 328986112 is 211689823.

328986112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071463 + ... + 1071769.

Almost surely, 2^328986112 is an apocalyptic number.

328986112 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 328986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423472896).

328986112 is an abundant number, since it is smaller than the sum of its proper divisors (517959680).

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

328986112 is a wasteful number, since it uses less digits than its factorization.

328986112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 328986112 is about 18137.9743080643. The cubic root of 328986112 is about 690.3338802824. Note that the first 3 decimals are identical.

It can be divided in two parts, 3289 and 86112, that added together give a square (89401 = 299²).

The spelling of 328986112 in words is "three hundred twenty-eight million, nine hundred eighty-six thousand, one hundred twelve".