285589728 has 72 divisors (see below), whose sum is σ = 820598688. Its totient is φ = 94205952.

The previous prime is 285589699. The next prime is 285589747. The reversal of 285589728 is 827985582.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×285589728² = 163122985478227968, which contains 22 as substring.

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, 22825 + ... + 33047.

It is an arithmetic number, because the mean of its divisors is an integer number (11397204).

Almost surely, 2^285589728 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 285589728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410299344).

285589728 is an abundant number, since it is smaller than the sum of its proper divisors (535008960).

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

285589728 is a wasteful number, since it uses less digits than its factorization.

285589728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336 (or 10325 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The square root of 285589728 is about 16899.4002260435. The cubic root of 285589728 is about 658.5380311955.

The spelling of 285589728 in words is "two hundred eighty-five million, five hundred eighty-nine thousand, seven hundred twenty-eight".