28380200 has 48 divisors (see below), whose sum is σ = 67612860. Its totient is φ = 11072000.

The previous prime is 28380173. The next prime is 28380203. The reversal of 28380200 is 208382.

It can be written as a sum of positive squares in 6 ways, for example, as 1110916 + 27269284 = 1054^2 + 5222^2 .

It is not an unprimeable number, because it can be changed into a prime (28380203) 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, 6470 + ... + 9930.

Almost surely, 2^28380200 is an apocalyptic number.

28380200 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 28380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33806430).

28380200 is an abundant number, since it is smaller than the sum of its proper divisors (39232660).

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

28380200 is a wasteful number, since it uses less digits than its factorization.

28380200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 28380200 is about 5327.3070119902. The cubic root of 28380200 is about 305.0271408258.

Adding to 28380200 its reverse (208382), we get a palindrome (28588582).

The spelling of 28380200 in words is "twenty-eight million, three hundred eighty thousand, two hundred".