985728 has 64 divisors (see below), whose sum is σ = 2790720. Its totient is φ = 307200.

The previous prime is 985723. The next prime is 985729. The reversal of 985728 is 827589.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (985723) by changing a digit.

985728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6453 + ... + 6603.

It is an arithmetic number, because the mean of its divisors is an integer number (43605).

2⁹⁸⁵⁷²⁸ 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 985728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395360).

985728 is an abundant number, since it is smaller than the sum of its proper divisors (1804992).

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

985728 is a wasteful number, since it uses less digits than its factorization.

985728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 985728 is about 992.8383554235. The cubic root of 985728 is about 99.5219853272.

The spelling of 985728 in words is "nine hundred eighty-five thousand, seven hundred twenty-eight".