363728 has 20 divisors (see below), whose sum is σ = 714240. Its totient is φ = 179424.

The previous prime is 363719. The next prime is 363731. The reversal of 363728 is 827363.

363728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 363728.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363728.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1943 + ... + 2121.

It is an arithmetic number, because the mean of its divisors is an integer number (35712).

2³⁶³⁷²⁸ is an apocalyptic number.

It is an amenable number.

363728 is a deficient number, since it is larger than the sum of its proper divisors (350512).

363728 is a wasteful number, since it uses less digits than its factorization.

363728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 363728 is about 603.0986652282. The cubic root of 363728 is about 71.3825806800.

The spelling of 363728 in words is "three hundred sixty-three thousand, seven hundred twenty-eight".