85128900 has 36 divisors (see below), whose sum is σ = 246307152. Its totient is φ = 22700960.

The previous prime is 85128893. The next prime is 85128913. The reversal of 85128900 is 982158.

It is a happy number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 141582 + ... + 142181.

Almost surely, 2^85128900 is an apocalyptic number.

It is an amenable number.

85128900 is an abundant number, since it is smaller than the sum of its proper divisors (161178252).

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

85128900 is a wasteful number, since it uses less digits than its factorization.

85128900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283780 (or 283773 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 85128900 is about 9226.5323930499. The cubic root of 85128900 is about 439.9051103917.

The spelling of 85128900 in words is "eighty-five million, one hundred twenty-eight thousand, nine hundred".