116350128 has 80 divisors (see below), whose sum is σ = 342165600. Its totient is φ = 37831680.

The previous prime is 116350121. The next prime is 116350151. The reversal of 116350128 is 821053611.

116350128 is a `hidden beast` number, since 1 + 1 + 635 + 0 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (116350121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14428 + ... + 20996.

It is an arithmetic number, because the mean of its divisors is an integer number (4277070).

Almost surely, 2^116350128 is an apocalyptic number.

116350128 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 116350128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171082800).

116350128 is an abundant number, since it is smaller than the sum of its proper divisors (225815472).

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

116350128 is a wasteful number, since it uses less digits than its factorization.

116350128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6627 (or 6615 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 116350128 is about 10786.5716518271. The cubic root of 116350128 is about 488.1900854038.

The spelling of 116350128 in words is "one hundred sixteen million, three hundred fifty thousand, one hundred twenty-eight".