96528042 has 48 divisors (see below), whose sum is σ = 231340200. Its totient is φ = 28895616.

The previous prime is 96528031. The next prime is 96528043. The reversal of 96528042 is 24082569.

It is a happy number.

96528042 is a `hidden beast` number, since 96 + 528 + 0 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77422401 + 19105641 = 8799^2 + 4371^2 .

It is a junction number, because it is equal to n+sod(n) for n = 96527988 and 96528006.

It is not an unprimeable number, because it can be changed into a prime (96528043) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3084 + ... + 14232.

Almost surely, 2^96528042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96528042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115670100).

96528042 is an abundant number, since it is smaller than the sum of its proper divisors (134812158).

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

96528042 is a wasteful number, since it uses less digits than its factorization.

96528042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11207 (or 11204 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 96528042 is about 9824.8685487390. The cubic root of 96528042 is about 458.7236863444.

The spelling of 96528042 in words is "ninety-six million, five hundred twenty-eight thousand, forty-two".