185728 has 16 divisors (see below), whose sum is σ = 370260. Its totient is φ = 92800.

The previous prime is 185723. The next prime is 185737. The reversal of 185728 is 827581.

185728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (16).

It is a self number, because there is not a number n which added to its sum of digits gives 185728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185723) by changing a digit.

185728 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 as a sum of consecutive naturals, namely, 598 + ... + 853.

2¹⁸⁵⁷²⁸ is an apocalyptic number.

It is an amenable number.

185728 is a deficient number, since it is larger than the sum of its proper divisors (184532).

185728 is an equidigital number, since it uses as much as digits as its factorization.

185728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1453 counting only the distinct ones).

The product of its digits is 4480, while the sum is 31.

The square root of 185728 is about 430.9617152370. The cubic root of 185728 is about 57.0548359128.

The spelling of 185728 in words is "one hundred eighty-five thousand, seven hundred twenty-eight".