117653328 has 120 divisors (see below), whose sum is σ = 375554088. Its totient is φ = 34062336.

The previous prime is 117653293. The next prime is 117653351. The reversal of 117653328 is 823356711.

117653328 is a `hidden beast` number, since 117 + 6 + 533 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1272384 + 116380944 = 1128^2 + 10788^2 .

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 = 117653292 and 117653301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29976 + ... + 33672.

Almost surely, 2^117653328 is an apocalyptic number.

117653328 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 117653328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187777044).

117653328 is an abundant number, since it is smaller than the sum of its proper divisors (257900760).

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

117653328 is a wasteful number, since it uses less digits than its factorization.

117653328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3732 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 117653328 is about 10846.8118818388. The cubic root of 117653328 is about 490.0060085338.

The spelling of 117653328 in words is "one hundred seventeen million, six hundred fifty-three thousand, three hundred twenty-eight".