96288768 has 90 divisors (see below), whose sum is σ = 278585034. Its totient is φ = 32047104.

The previous prime is 96288761. The next prime is 96288779. The reversal of 96288768 is 86788269.

96288768 is a `hidden beast` number, since 9 + 628 + 8 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 24920064 = 8448^2 + 4992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96288761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147130 + ... + 147782.

Almost surely, 2^96288768 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 96288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139292517).

96288768 is an abundant number, since it is smaller than the sum of its proper divisors (182296266).

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

96288768 is an equidigital number, since it uses as much as digits as its factorization.

96288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 658 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 96288768 is about 9812.6840364907. The cubic root of 96288768 is about 458.3443441836.

The spelling of 96288768 in words is "ninety-six million, two hundred eighty-eight thousand, seven hundred sixty-eight".