28680000 has 140 divisors (see below), whose sum is σ = 95219520. Its totient is φ = 7616000.

The previous prime is 28679999. The next prime is 28680007. The reversal of 28680000 is 8682.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28680007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119881 + ... + 120119.

Almost surely, 2^28680000 is an apocalyptic number.

28680000 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 28680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47609760).

28680000 is an abundant number, since it is smaller than the sum of its proper divisors (66539520).

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

28680000 is an equidigital number, since it uses as much as digits as its factorization.

28680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 28680000 is about 5355.3711355984. The cubic root of 28680000 is about 306.0974528343.

Adding to 28680000 its reverse (8682), we get a palindrome (28688682).

The spelling of 28680000 in words is "twenty-eight million, six hundred eighty thousand".