28205200 has 60 divisors (see below), whose sum is σ = 68500080. Its totient is φ = 11159680.

The previous prime is 28205189. The next prime is 28205231. The reversal of 28205200 is 250282.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42471 + ... + 43129.

It is an arithmetic number, because the mean of its divisors is an integer number (1141668).

Almost surely, 2^28205200 is an apocalyptic number.

28205200 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 28205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34250040).

28205200 is an abundant number, since it is smaller than the sum of its proper divisors (40294880).

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

28205200 is a wasteful number, since it uses less digits than its factorization.

28205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 28205200 is about 5310.8568046973. The cubic root of 28205200 is about 304.3988877356.

Adding to 28205200 its reverse (250282), we get a palindrome (28455482).

The spelling of 28205200 in words is "twenty-eight million, two hundred five thousand, two hundred".