28204200 has 120 divisors (see below), whose sum is σ = 98013630. Its totient is φ = 7516800.

The previous prime is 28204193. The next prime is 28204201. The reversal of 28204200 is 240282.

It can be written as a sum of positive squares in 3 ways, for example, as 10614564 + 17589636 = 3258^2 + 4194^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (28204201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15330 + ... + 17070.

Almost surely, 2^28204200 is an apocalyptic number.

28204200 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 28204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49006815).

28204200 is an abundant number, since it is smaller than the sum of its proper divisors (69809430).

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

28204200 is a wasteful number, since it uses less digits than its factorization.

28204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 28204200 is about 5310.7626570955. The cubic root of 28204200 is about 304.3952902608.

Adding to 28204200 its reverse (240282), we get a palindrome (28444482).

The spelling of 28204200 in words is "twenty-eight million, two hundred four thousand, two hundred".