96528400 has 30 divisors (see below), whose sum is σ = 231910442. Its totient is φ = 38611200.

The previous prime is 96528373. The next prime is 96528409. The reversal of 96528400 is 482569.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 96510976 = 132^2 + 9824^2 .

It is not an unprimeable number, because it can be changed into a prime (96528409) 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, 120261 + ... + 121060.

Almost surely, 2^96528400 is an apocalyptic number.

It is an amenable number.

96528400 is an abundant number, since it is smaller than the sum of its proper divisors (135382042).

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

96528400 is a wasteful number, since it uses less digits than its factorization.

96528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241339 (or 241328 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 96528400 is about 9824.8867677953. The cubic root of 96528400 is about 458.7242534435.

The spelling of 96528400 in words is "ninety-six million, five hundred twenty-eight thousand, four hundred".