117988128 has 72 divisors (see below), whose sum is σ = 337182300. Its totient is φ = 39135744.

The previous prime is 117988127. The next prime is 117988133. The reversal of 117988128 is 821889711.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 87385104 + 30603024 = 9348^2 + 5532^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (117988121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65058 + ... + 66846.

Almost surely, 2^117988128 is an apocalyptic number.

117988128 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 117988128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168591150).

117988128 is an abundant number, since it is smaller than the sum of its proper divisors (219194172).

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

117988128 is a wasteful number, since it uses less digits than its factorization.

117988128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2023 counting only the distinct ones).

The product of its digits is 64512, while the sum is 45.

The square root of 117988128 is about 10862.2340243617. The cubic root of 117988128 is about 490.4703632802.

The spelling of 117988128 in words is "one hundred seventeen million, nine hundred eighty-eight thousand, one hundred twenty-eight".