96289128 has 128 divisors (see below), whose sum is σ = 293932800. Its totient is φ = 29023488.

The previous prime is 96289111. The next prime is 96289177. The reversal of 96289128 is 82198269.

96289128 is a `hidden beast` number, since 9 + 628 + 9 + 12 + 8 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 148501 + ... + 149147.

It is an arithmetic number, because the mean of its divisors is an integer number (2296350).

Almost surely, 2^96289128 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 96289128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400).

96289128 is an abundant number, since it is smaller than the sum of its proper divisors (197643672).

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

96289128 is a wasteful number, since it uses less digits than its factorization.

96289128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 718 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 96289128 is about 9812.7023800786. The cubic root of 96289128 is about 458.3449153951.

The spelling of 96289128 in words is "ninety-six million, two hundred eighty-nine thousand, one hundred twenty-eight".