28735 has 8 divisors (see below), whose sum is σ = 39456. Its totient is φ = 19680.

The previous prime is 28729. The next prime is 28751. The reversal of 28735 is 53782.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 28735 - 2⁵ = 28703 is a prime.

It is a d-powerful number, because it can be written as 2¹³ + 8³ + 7³ + 3⁹ + 5 .

It is a Duffinian number.

28735 is a lucky number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376 + ... + 445.

It is an arithmetic number, because the mean of its divisors is an integer number (4932).

2²⁸⁷³⁵ is an apocalyptic number.

28735 is a deficient number, since it is larger than the sum of its proper divisors (10721).

28735 is an equidigital number, since it uses as much as digits as its factorization.

28735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833.

The product of its digits is 1680, while the sum is 25.

The square root of 28735 is about 169.5140112203. The cubic root of 28735 is about 30.6292996878.

It can be divided in two parts, 2873 and 5, that multiplied together give a triangular number (14365 = T₁₆₉).

The spelling of 28735 in words is "twenty-eight thousand, seven hundred thirty-five".