117828 has 24 divisors (see below), whose sum is σ = 305760. Its totient is φ = 39240.

The previous prime is 117811. The next prime is 117833. The reversal of 117828 is 828711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

117828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 438 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (12740).

2¹¹⁷⁸²⁸ is an apocalyptic number.

117828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

117828 is an abundant number, since it is smaller than the sum of its proper divisors (187932).

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

117828 is a wasteful number, since it uses less digits than its factorization.

117828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1096 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 117828 is about 343.2608337693. The cubic root of 117828 is about 49.0248381640.

Adding to 117828 its sum of digits (27), we get a triangular number (117855 = T₄₈₅).

The spelling of 117828 in words is "one hundred seventeen thousand, eight hundred twenty-eight".