28801 has 4 divisors (see below), whose sum is σ = 29232. Its totient is φ = 28372.

The previous prime is 28793. The next prime is 28807. The reversal of 28801 is 10882.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10882 = 2 ⋅5441.

It is a cyclic number.

It is not a de Polignac number, because 28801 - 2³ = 28793 is a prime.

It is a Duffinian number.

28801 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (28807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91 + ... + 256.

It is an arithmetic number, because the mean of its divisors is an integer number (7308).

2²⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

28801 is a deficient number, since it is larger than the sum of its proper divisors (431).

28801 is an equidigital number, since it uses as much as digits as its factorization.

28801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430.

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 28801 is about 169.7085737375. The cubic root of 28801 is about 30.6527320645.

Subtracting from 28801 its sum of digits (19), we obtain a palindrome (28782).

The spelling of 28801 in words is "twenty-eight thousand, eight hundred one".