96380928 has 240 divisors, whose sum is σ = 332972640. Its totient is φ = 27205632.

The previous prime is 96380927. The next prime is 96380929. The reversal of 96380928 is 82908369.

96380928 is a `hidden beast` number, since 9 + 638 + 0 + 9 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (96380927) and next prime (96380929).

It is not an unprimeable number, because it can be changed into a prime (96380923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1161175 + ... + 1161257.

It is an arithmetic number, because the mean of its divisors is an integer number (1387386).

Almost surely, 2^96380928 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 96380928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166486320).

96380928 is an abundant number, since it is smaller than the sum of its proper divisors (236591712).

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

96380928 is an equidigital number, since it uses as much as digits as its factorization.

96380928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 96380928 is about 9817.3788762582. The cubic root of 96380928 is about 458.4905278843.

The spelling of 96380928 in words is "ninety-six million, three hundred eighty thousand, nine hundred twenty-eight".