96456528 has 160 divisors (see below), whose sum is σ = 319979520. Its totient is φ = 27250560.

The previous prime is 96456527. The next prime is 96456583. The reversal of 96456528 is 82565469.

96456528 is a `hidden beast` number, since 9 + 64 + 565 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96456527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504913 + ... + 505103.

It is an arithmetic number, because the mean of its divisors is an integer number (1999872).

Almost surely, 2^96456528 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 96456528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

96456528 is an abundant number, since it is smaller than the sum of its proper divisors (223522992).

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

96456528 is a wasteful number, since it uses less digits than its factorization.

96456528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 96456528 is about 9821.2284364024. The cubic root of 96456528 is about 458.6103746417.

The spelling of 96456528 in words is "ninety-six million, four hundred fifty-six thousand, five hundred twenty-eight".