187728 has 20 divisors (see below), whose sum is σ = 485088. Its totient is φ = 62560.

The previous prime is 187721. The next prime is 187751. The reversal of 187728 is 827781.

187728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1908 + ... + 2003.

2¹⁸⁷⁷²⁸ is an apocalyptic number.

It is an amenable number.

187728 is an abundant number, since it is smaller than the sum of its proper divisors (297360).

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

187728 is a wasteful number, since it uses less digits than its factorization.

187728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3916 counting only the distinct ones).

The product of its digits is 6272, while the sum is 33.

The square root of 187728 is about 433.2758936290. The cubic root of 187728 is about 57.2589022724.

The spelling of 187728 in words is "one hundred eighty-seven thousand, seven hundred twenty-eight".