85875858728 has 64 divisors (see below), whose sum is σ = 177301094400. Its totient is φ = 38669641920.

The previous prime is 85875858667. The next prime is 85875858763. The reversal of 85875858728 is 82785857858.

It is a super-2 number, since 2×85875858728² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8030201 + ... + 8040887.

It is an arithmetic number, because the mean of its divisors is an integer number (2770329600).

Almost surely, 2^85875858728 is an apocalyptic number.

85875858728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85875858728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88650547200).

85875858728 is an abundant number, since it is smaller than the sum of its proper divisors (91425235672).

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

85875858728 is a wasteful number, since it uses less digits than its factorization.

85875858728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11550 (or 11546 counting only the distinct ones).

The product of its digits is 401408000, while the sum is 71.

The spelling of 85875858728 in words is "eighty-five billion, eight hundred seventy-five million, eight hundred fifty-eight thousand, seven hundred twenty-eight".