96116328 has 128 divisors (see below), whose sum is σ = 332928000. Its totient is φ = 24960960.

The previous prime is 96116327. The next prime is 96116329. The reversal of 96116328 is 82361169.

96116328 is a `hidden beast` number, since 9 + 6 + 11 + 632 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (96116327) and next prime (96116329).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 96116292 and 96116301.

It is not an unprimeable number, because it can be changed into a prime (96116327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13743 + ... + 19521.

It is an arithmetic number, because the mean of its divisors is an integer number (2601000).

Almost surely, 2^96116328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96116328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166464000).

96116328 is an abundant number, since it is smaller than the sum of its proper divisors (236811672).

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

96116328 is a wasteful number, since it uses less digits than its factorization.

96116328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5812 (or 5802 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 96116328 is about 9803.8935122736. The cubic root of 96116328 is about 458.0705700326.

It can be divided in two parts, 961163 and 28, that added together give a triangular number (961191 = T₁₃₈₆).

The spelling of 96116328 in words is "ninety-six million, one hundred sixteen thousand, three hundred twenty-eight".