28052800 has 84 divisors (see below), whose sum is σ = 70157340. Its totient is φ = 11038720.

The previous prime is 28052779. The next prime is 28052803. The reversal of 28052800 is 825082.

It can be written as a sum of positive squares in 6 ways, for example, as 5184 + 28047616 = 72^2 + 5296^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28052803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142302 + ... + 142498.

Almost surely, 2^28052800 is an apocalyptic number.

28052800 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 28052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35078670).

28052800 is an abundant number, since it is smaller than the sum of its proper divisors (42104540).

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

28052800 is a wasteful number, since it uses less digits than its factorization.

28052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 28052800 is about 5296.4894033690. The cubic root of 28052800 is about 303.8496486437.

Adding to 28052800 its reverse (825082), we get a palindrome (28877882).

The spelling of 28052800 in words is "twenty-eight million, fifty-two thousand, eight hundred".