168131328 has 72 divisors (see below), whose sum is σ = 462966000. Its totient is φ = 54104064.

The previous prime is 168131291. The next prime is 168131387. The reversal of 168131328 is 823131861.

168131328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18498 + ... + 26046.

Almost surely, 2^168131328 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 168131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231483000).

168131328 is an abundant number, since it is smaller than the sum of its proper divisors (294834672).

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

168131328 is an equidigital number, since it uses as much as digits as its factorization.

168131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7597 (or 7583 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 168131328 is about 12966.5464947302. The cubic root of 168131328 is about 551.9285771905.

The spelling of 168131328 in words is "one hundred sixty-eight million, one hundred thirty-one thousand, three hundred twenty-eight".