28768 has 24 divisors (see below), whose sum is σ = 60480. Its totient is φ = 13440.

The previous prime is 28759. The next prime is 28771. The reversal of 28768 is 86782.

28768 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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, 913 + ... + 943.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2²⁸⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

28768 is an abundant number, since it is smaller than the sum of its proper divisors (31712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28768 is a wasteful number, since it uses less digits than its factorization.

28768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 62 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 28768 is about 169.6113203769. The cubic root of 28768 is about 30.6410203561.

The spelling of 28768 in words is "twenty-eight thousand, seven hundred sixty-eight".