117280128 has 192 divisors, whose sum is σ = 379537920. Its totient is φ = 31933440.

The previous prime is 117280123. The next prime is 117280139. The reversal of 117280128 is 821082711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 117280095 and 117280104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117280123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432633 + ... + 432903.

It is an arithmetic number, because the mean of its divisors is an integer number (1976760).

Almost surely, 2^117280128 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 117280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189768960).

117280128 is an abundant number, since it is smaller than the sum of its proper divisors (262257792).

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

117280128 is a wasteful number, since it uses less digits than its factorization.

117280128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The square root of 117280128 is about 10829.5950062779. The cubic root of 117280128 is about 489.4873550070.

The spelling of 117280128 in words is "one hundred seventeen million, two hundred eighty thousand, one hundred twenty-eight".