117973728 has 144 divisors (see below), whose sum is σ = 350584416. Its totient is φ = 37601280.

The previous prime is 117973703. The next prime is 117973777. The reversal of 117973728 is 827379711.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1145325 + ... + 1145427.

It is an arithmetic number, because the mean of its divisors is an integer number (2434614).

Almost surely, 2^117973728 is an apocalyptic number.

117973728 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 117973728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175292208).

117973728 is an abundant number, since it is smaller than the sum of its proper divisors (232610688).

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

117973728 is a wasteful number, since it uses less digits than its factorization.

117973728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its digits is 148176, while the sum is 45.

The square root of 117973728 is about 10861.5711570656. The cubic root of 117973728 is about 490.4504091241.

The spelling of 117973728 in words is "one hundred seventeen million, nine hundred seventy-three thousand, seven hundred twenty-eight".