117515628 has 72 divisors (see below), whose sum is σ = 320550048. Its totient is φ = 36162048.

The previous prime is 117515623. The next prime is 117515641. The reversal of 117515628 is 826515711.

117515628 is a `hidden beast` number, since 1 + 17 + 5 + 15 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 117515592 and 117515601.

It is not an unprimeable number, because it can be changed into a prime (117515623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30625 + ... + 34247.

It is an arithmetic number, because the mean of its divisors is an integer number (4452084).

Almost surely, 2^117515628 is an apocalyptic number.

117515628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117515628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160275024).

117515628 is an abundant number, since it is smaller than the sum of its proper divisors (203034420).

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

117515628 is a wasteful number, since it uses less digits than its factorization.

117515628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3698 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The square root of 117515628 is about 10840.4625362574. The cubic root of 117515628 is about 489.8147682486.

The spelling of 117515628 in words is "one hundred seventeen million, five hundred fifteen thousand, six hundred twenty-eight".