28776 has 32 divisors (see below), whose sum is σ = 79200. Its totient is φ = 8640.

The previous prime is 28771. The next prime is 28789. The reversal of 28776 is 67782.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28776.

It is not an unprimeable number, because it can be changed into a prime (28771) by changing a digit.

28776 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 in 7 ways as a sum of consecutive naturals, for example, 210 + ... + 318.

It is an arithmetic number, because the mean of its divisors is an integer number (2475).

2²⁸⁷⁷⁶ 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 28776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39600).

28776 is an abundant number, since it is smaller than the sum of its proper divisors (50424).

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

28776 is a wasteful number, since it uses less digits than its factorization.

28776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 28776 is about 169.6349020691. The cubic root of 28776 is about 30.6438603802.

It can be divided in two parts, 287 and 76, that multiplied together give a palindrome (21812).

The spelling of 28776 in words is "twenty-eight thousand, seven hundred seventy-six".