28755 has 20 divisors (see below), whose sum is σ = 52272. Its totient is φ = 15120.

The previous prime is 28753. The next prime is 28759. The reversal of 28755 is 55782.

It is a happy number.

It is not a de Polignac number, because 28755 - 2¹ = 28753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28755.

It is not an unprimeable number, because it can be changed into a prime (28751) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 370 + ... + 440.

2²⁸⁷⁵⁵ is an apocalyptic number.

28755 is a deficient number, since it is larger than the sum of its proper divisors (23517).

28755 is an equidigital number, since it uses as much as digits as its factorization.

28755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 79 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 28755 is about 169.5729931328. The cubic root of 28755 is about 30.6364041937.

Adding to 28755 its sum of digits (27), we get a palindrome (28782).

The spelling of 28755 in words is "twenty-eight thousand, seven hundred fifty-five".