365728 has 24 divisors (see below), whose sum is σ = 786240. Its totient is φ = 166080.

The previous prime is 365699. The next prime is 365747. The reversal of 365728 is 827563.

It is a self number, because there is not a number n which added to its sum of digits gives 365728.

It is an unprimeable number.

365728 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 in 3 ways as a sum of consecutive naturals, for example, 168 + ... + 871.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2³⁶⁵⁷²⁸ is an apocalyptic number.

It is an amenable number.

365728 is an abundant number, since it is smaller than the sum of its proper divisors (420512).

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

365728 is a wasteful number, since it uses less digits than its factorization.

365728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 365728 is about 604.7544956427. The cubic root of 365728 is about 71.5131767001.

The spelling of 365728 in words is "three hundred sixty-five thousand, seven hundred twenty-eight".