116728128 has 280 divisors, whose sum is σ = 398312640. Its totient is φ = 33454080.

The previous prime is 116728127. The next prime is 116728133. The reversal of 116728128 is 821827611.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (10752) is a multiple of the sum of its prime divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 116728092 and 116728101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116728121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1311508 + ... + 1311596.

Almost surely, 2^116728128 is an apocalyptic number.

116728128 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 116728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199156320).

116728128 is an abundant number, since it is smaller than the sum of its proper divisors (281584512).

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

116728128 is a wasteful number, since it uses less digits than its factorization.

116728128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 116728128 is about 10804.0792296243. The cubic root of 116728128 is about 488.7181936074.

The spelling of 116728128 in words is "one hundred sixteen million, seven hundred twenty-eight thousand, one hundred twenty-eight".