28736 has 14 divisors (see below), whose sum is σ = 57150. Its totient is φ = 14336.

The previous prime is 28729. The next prime is 28751. The reversal of 28736 is 63782.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 3136 = 160^2 + 56^2 .

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹³ + 8³ + 7³ + 3⁹ + 6 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28736.

It is an unprimeable number.

28736 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, 161 + ... + 288.

2²⁸⁷³⁶ is an apocalyptic number.

It is an amenable number.

28736 is a deficient number, since it is larger than the sum of its proper divisors (28414).

28736 is an equidigital number, since it uses as much as digits as its factorization.

28736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 451 counting only the distinct ones).

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

The square root of 28736 is about 169.5169608033. The cubic root of 28736 is about 30.6296549914.

It can be divided in two parts, 287 and 36, that added together give a palindrome (323).

The spelling of 28736 in words is "twenty-eight thousand, seven hundred thirty-six".