28000800 has 108 divisors (see below), whose sum is σ = 98763210. Its totient is φ = 7464960.

The previous prime is 28000799. The next prime is 28000831. The reversal of 28000800 is 800082.

It can be written as a sum of positive squares in 3 ways, for example, as 23386896 + 4613904 = 4836^2 + 2148^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5256 + ... + 9144.

Almost surely, 2^28000800 is an apocalyptic number.

28000800 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 28000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49381605).

28000800 is an abundant number, since it is smaller than the sum of its proper divisors (70762410).

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

28000800 is a wasteful number, since it uses less digits than its factorization.

28000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3899 counting only the distinct ones).

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

The square root of 28000800 is about 5291.5782144838. The cubic root of 28000800 is about 303.6617891495.

Adding to 28000800 its reverse (800082), we get a palindrome (28800882).

The spelling of 28000800 in words is "twenty-eight million, eight hundred", and thus it is an aban number.