116753328 has 120 divisors (see below), whose sum is σ = 347547200. Its totient is φ = 36484992.

The previous prime is 116753317. The next prime is 116753341. The reversal of 116753328 is 823357611.

116753328 is a `hidden beast` number, since 116 + 7 + 533 + 2 + 8 = 666.

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 = 116753292 and 116753301.

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, 380151 + ... + 380457.

Almost surely, 2^116753328 is an apocalyptic number.

116753328 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 116753328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173773600).

116753328 is an abundant number, since it is smaller than the sum of its proper divisors (230793872).

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

116753328 is a wasteful number, since it uses less digits than its factorization.

116753328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 470 counting only the distinct ones).

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

The square root of 116753328 is about 10805.2453928636. The cubic root of 116753328 is about 488.7533602593.

The spelling of 116753328 in words is "one hundred sixteen million, seven hundred fifty-three thousand, three hundred twenty-eight".