328937112 has 160 divisors (see below), whose sum is σ = 1063096320. Its totient is φ = 93078720.

The previous prime is 328937083. The next prime is 328937113. The reversal of 328937112 is 211739823.

328937112 is a `hidden beast` number, since 3 + 289 + 371 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328937113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 575787 + ... + 576357.

It is an arithmetic number, because the mean of its divisors is an integer number (6644352).

Almost surely, 2^328937112 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 328937112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531548160).

328937112 is an abundant number, since it is smaller than the sum of its proper divisors (734159208).

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

328937112 is a wasteful number, since it uses less digits than its factorization.

328937112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 710 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 328937112 is about 18136.6235005306. The cubic root of 328937112 is about 690.2996052391.

It can be divided in two parts, 3289 and 37112, that added together give a square (40401 = 201²).

The spelling of 328937112 in words is "three hundred twenty-eight million, nine hundred thirty-seven thousand, one hundred twelve".