180728 has 32 divisors (see below), whose sum is σ = 378000. Its totient is φ = 80640.

The previous prime is 180701. The next prime is 180731. The reversal of 180728 is 827081.

180728 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 180697 and 180706.

It is a congruent number.

It is an unprimeable number.

180728 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, 4388 + ... + 4428.

2¹⁸⁰⁷²⁸ is an apocalyptic number.

It is an amenable number.

180728 is an abundant number, since it is smaller than the sum of its proper divisors (197272).

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

180728 is a wasteful number, since it uses less digits than its factorization.

180728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 180728 is about 425.1211592005. The cubic root of 180728 is about 56.5381787014.

The spelling of 180728 in words is "one hundred eighty thousand, seven hundred twenty-eight".