117728 has 24 divisors (see below), whose sum is σ = 250488. Its totient is φ = 54144.

The previous prime is 117727. The next prime is 117731. The reversal of 117728 is 827711.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 117697 and 117706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275 + ... + 557.

It is an arithmetic number, because the mean of its divisors is an integer number (10437).

117728 is a Friedman number, since it can be written as 81+7^(7-1)-2, using all its digits and the basic arithmetic operations.

2¹¹⁷⁷²⁸ 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 117728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125244).

117728 is an abundant number, since it is smaller than the sum of its proper divisors (132760).

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

117728 is a wasteful number, since it uses less digits than its factorization.

117728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its digits is 784, while the sum is 26.

The square root of 117728 is about 343.1151410241. The cubic root of 117728 is about 49.0109651984.

The spelling of 117728 in words is "one hundred seventeen thousand, seven hundred twenty-eight".