85615728 has 60 divisors (see below), whose sum is σ = 243125064. Its totient is φ = 25942400.

The previous prime is 85615727. The next prime is 85615741. The reversal of 85615728 is 82751658.

It is a self number, because there is not a number n which added to its sum of digits gives 85615728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85615727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1563 + ... + 13178.

Almost surely, 2^85615728 is an apocalyptic number.

85615728 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 85615728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121562532).

85615728 is an abundant number, since it is smaller than the sum of its proper divisors (157509336).

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

85615728 is a wasteful number, since it uses less digits than its factorization.

85615728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14774 (or 14757 counting only the distinct ones).

The product of its digits is 134400, while the sum is 42.

The square root of 85615728 is about 9252.8767418571. The cubic root of 85615728 is about 440.7420810745.

The spelling of 85615728 in words is "eighty-five million, six hundred fifteen thousand, seven hundred twenty-eight".