85728200 has 48 divisors (see below), whose sum is σ = 199950000. Its totient is φ = 34182720.

The previous prime is 85728187. The next prime is 85728217. The reversal of 85728200 is 282758.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99371 + ... + 100229.

It is an arithmetic number, because the mean of its divisors is an integer number (4165625).

Almost surely, 2^85728200 is an apocalyptic number.

It is an amenable number.

85728200 is an abundant number, since it is smaller than the sum of its proper divisors (114221800).

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

85728200 is a wasteful number, since it uses less digits than its factorization.

85728200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 85728200 is about 9258.9524245457. The cubic root of 85728200 is about 440.9349952091.

The spelling of 85728200 in words is "eighty-five million, seven hundred twenty-eight thousand, two hundred".