117928440 has 256 divisors, whose sum is σ = 473472000. Its totient is φ = 25505280.

The previous prime is 117928417. The next prime is 117928441. The reversal of 117928440 is 44829711.

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 = 117928395 and 117928404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117928441) 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, 143230 + ... + 144050.

It is an arithmetic number, because the mean of its divisors is an integer number (1849500).

Almost surely, 2^117928440 is an apocalyptic number.

117928440 is a gapful number since it is divisible by the number (10) 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 117928440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236736000).

117928440 is an abundant number, since it is smaller than the sum of its proper divisors (355543560).

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

117928440 is a wasteful number, since it uses less digits than its factorization.

117928440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 117928440 is about 10859.4861756899. The cubic root of 117928440 is about 490.3876427175.

The spelling of 117928440 in words is "one hundred seventeen million, nine hundred twenty-eight thousand, four hundred forty".