28280200 has 96 divisors (see below), whose sum is σ = 72261000. Its totient is φ = 10229760.

The previous prime is 28280177. The next prime is 28280209. The reversal of 28280200 is 208282.

It can be written as a sum of positive squares in 12 ways, for example, as 465124 + 27815076 = 682^2 + 5274^2 .

It is not an unprimeable number, because it can be changed into a prime (28280209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189726 + ... + 189874.

Almost surely, 2^28280200 is an apocalyptic number.

28280200 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 28280200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36130500).

28280200 is an abundant number, since it is smaller than the sum of its proper divisors (43980800).

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

28280200 is a wasteful number, since it uses less digits than its factorization.

28280200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 28280200 is about 5317.9131245254. The cubic root of 28280200 is about 304.6684563596.

Adding to 28280200 its reverse (208282), we get a palindrome (28488482).

The spelling of 28280200 in words is "twenty-eight million, two hundred eighty thousand, two hundred".