28185200 has 60 divisors (see below), whose sum is σ = 69930048. Its totient is φ = 10905600.

The previous prime is 28185197. The next prime is 28185203. The reversal of 28185200 is 258182.

It is an interprime number because it is at equal distance from previous prime (28185197) and next prime (28185203).

It is a self number, because there is not a number n which added to its sum of digits gives 28185200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28185203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11264 + ... + 13536.

Almost surely, 2^28185200 is an apocalyptic number.

28185200 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 28185200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34965024).

28185200 is an abundant number, since it is smaller than the sum of its proper divisors (41744848).

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

28185200 is a wasteful number, since it uses less digits than its factorization.

28185200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 28185200 is about 5308.9735354398. The cubic root of 28185200 is about 304.3269220780.

The spelling of 28185200 in words is "twenty-eight million, one hundred eighty-five thousand, two hundred".