96208128 has 144 divisors (see below), whose sum is σ = 294336000. Its totient is φ = 30965760.

The previous prime is 96208061. The next prime is 96208139. The reversal of 96208128 is 82180269.

96208128 is a `hidden beast` number, since 9 + 620 + 8 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 96208092 and 96208101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214048 + ... + 214496.

It is an arithmetic number, because the mean of its divisors is an integer number (2044000).

Almost surely, 2^96208128 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 96208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147168000).

96208128 is an abundant number, since it is smaller than the sum of its proper divisors (198127872).

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

96208128 is a wasteful number, since it uses less digits than its factorization.

96208128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 96208128 is about 9808.5742083139. The cubic root of 96208128 is about 458.2163569098.

The spelling of 96208128 in words is "ninety-six million, two hundred eight thousand, one hundred twenty-eight".