28782200 has 48 divisors (see below), whose sum is σ = 69839280. Its totient is φ = 11010560.

The previous prime is 28782197. The next prime is 28782203. The reversal of 28782200 is 228782.

It is an interprime number because it is at equal distance from previous prime (28782197) and next prime (28782203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28782203) 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, 1472 + ... + 7728.

It is an arithmetic number, because the mean of its divisors is an integer number (1454985).

Almost surely, 2^28782200 is an apocalyptic number.

28782200 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 28782200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34919640).

28782200 is an abundant number, since it is smaller than the sum of its proper divisors (41057080).

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

28782200 is a wasteful number, since it uses less digits than its factorization.

28782200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 28782200 is about 5364.9044725885. The cubic root of 28782200 is about 306.4606103694.

It can be divided in two parts, 28782 and 200, that added together give a palindrome (28982).

The spelling of 28782200 in words is "twenty-eight million, seven hundred eighty-two thousand, two hundred".