36728 has 8 divisors (see below), whose sum is σ = 68880. Its totient is φ = 18360.

The previous prime is 36721. The next prime is 36739. The reversal of 36728 is 82763.

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 36697 and 36706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36721) by changing a digit.

36728 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 as a sum of consecutive naturals, namely, 2288 + ... + 2303.

It is an arithmetic number, because the mean of its divisors is an integer number (8610).

2³⁶⁷²⁸ is an apocalyptic number.

It is an amenable number.

36728 is a deficient number, since it is larger than the sum of its proper divisors (32152).

36728 is a wasteful number, since it uses less digits than its factorization.

36728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4593 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 36728 is about 191.6455060783. The cubic root of 36728 is about 33.2403631597.

The spelling of 36728 in words is "thirty-six thousand, seven hundred twenty-eight".