85028600 has 48 divisors (see below), whose sum is σ = 198502920. Its totient is φ = 33872000.

The previous prime is 85028597. The next prime is 85028621. The reversal of 85028600 is 682058.

It is a happy number.

It is a congruent number.

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, 57875 + ... + 59325.

Almost surely, 2^85028600 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 85028600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99251460).

85028600 is an abundant number, since it is smaller than the sum of its proper divisors (113474320).

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

85028600 is a wasteful number, since it uses less digits than its factorization.

85028600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 85028600 is about 9221.0953796173. The cubic root of 85028600 is about 439.7322751482.

The spelling of 85028600 in words is "eighty-five million, twenty-eight thousand, six hundred".