117775728 has 320 divisors, whose sum is σ = 428544000. Its totient is φ = 30191616.

The previous prime is 117775717. The next prime is 117775729. The reversal of 117775728 is 827577711.

It is a happy number.

117775728 is a `hidden beast` number, since 1 + 1 + 7 + 77 + 572 + 8 = 666.

It is a super-2 number, since 2×117775728² = 27742244211859968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117775729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1490793 + ... + 1490871.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^117775728 is an apocalyptic number.

117775728 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 117775728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214272000).

117775728 is an abundant number, since it is smaller than the sum of its proper divisors (310768272).

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

117775728 is a wasteful number, since it uses less digits than its factorization.

117775728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its digits is 192080, while the sum is 45.

The square root of 117775728 is about 10852.4526260196. The cubic root of 117775728 is about 490.1758746698.

The spelling of 117775728 in words is "one hundred seventeen million, seven hundred seventy-five thousand, seven hundred twenty-eight".