36928 has 14 divisors (see below), whose sum is σ = 73406. Its totient is φ = 18432.

The previous prime is 36923. The next prime is 36929. The reversal of 36928 is 82963.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 64 = 192^2 + 8^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36896 and 36905.

It is not an unprimeable number, because it can be changed into a prime (36923) by changing a digit.

36928 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 (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 225 + ... + 352.

2³⁶⁹²⁸ is an apocalyptic number.

It is an amenable number.

36928 is a deficient number, since it is larger than the sum of its proper divisors (36478).

36928 is an equidigital number, since it uses as much as digits as its factorization.

36928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 579 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 36928 is about 192.1665943914. The cubic root of 36928 is about 33.3005900691.

The spelling of 36928 in words is "thirty-six thousand, nine hundred twenty-eight".