28679680 has 80 divisors (see below), whose sum is σ = 72919440. Its totient is φ = 10780672.

The previous prime is 28679647. The next prime is 28679701. The reversal of 28679680 is 8697682.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 28679680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43191 + ... + 43849.

It is an arithmetic number, because the mean of its divisors is an integer number (911493).

Almost surely, 2^28679680 is an apocalyptic number.

28679680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36459720).

28679680 is an abundant number, since it is smaller than the sum of its proper divisors (44239760).

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

28679680 is an equidigital number, since it uses as much as digits as its factorization.

28679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 28679680 is about 5355.3412589675. The cubic root of 28679680 is about 306.0963143923.

The spelling of 28679680 in words is "twenty-eight million, six hundred seventy-nine thousand, six hundred eighty".