85728 has 48 divisors (see below), whose sum is σ = 241920. Its totient is φ = 26496.

The previous prime is 85717. The next prime is 85733. The reversal of 85728 is 82758.

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 85695 and 85704.

It is a congruent number.

It is an unprimeable number.

85728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1801 + ... + 1847.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁸⁵⁷²⁸ 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 85728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

85728 is an abundant number, since it is smaller than the sum of its proper divisors (156192).

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

85728 is a wasteful number, since it uses less digits than its factorization.

85728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 85728 is about 292.7934425495. The cubic root of 85728 is about 44.0934652315.

Adding to 85728 its sum of digits (30), we get a palindrome (85758).

The spelling of 85728 in words is "eighty-five thousand, seven hundred twenty-eight".