117313728 has 112 divisors (see below), whose sum is σ = 357371904. Its totient is φ = 33269760.

The previous prime is 117313727. The next prime is 117313747. The reversal of 117313728 is 827313711.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (117313727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256476 + ... + 256932.

Almost surely, 2^117313728 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 117313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178685952).

117313728 is an abundant number, since it is smaller than the sum of its proper divisors (240058176).

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

117313728 is a wasteful number, since it uses less digits than its factorization.

117313728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 117313728 is about 10831.1461997334. The cubic root of 117313728 is about 489.5340955334.

The spelling of 117313728 in words is "one hundred seventeen million, three hundred thirteen thousand, seven hundred twenty-eight".