28080000 has 320 divisors, whose sum is σ = 111526800. Its totient is φ = 6912000.

The previous prime is 28079999. The next prime is 28080001. The reversal of 28080000 is 8082.

It is an interprime number because it is at equal distance from previous prime (28079999) and next prime (28080001).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28080001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2159994 + ... + 2160006.

Almost surely, 2^28080000 is an apocalyptic number.

28080000 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 28080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55763400).

28080000 is an abundant number, since it is smaller than the sum of its proper divisors (83446800).

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

28080000 is an equidigital number, since it uses as much as digits as its factorization.

28080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 28080000 is about 5299.0565197967. The cubic root of 28080000 is about 303.9478211461.

Adding to 28080000 its reverse (8082), we get a palindrome (28088082).

The spelling of 28080000 in words is "twenty-eight million, eighty thousand".