28086200 has 48 divisors (see below), whose sum is σ = 65654280. Its totient is φ = 11173760.

The previous prime is 28086137. The next prime is 28086203. The reversal of 28086200 is 268082.

28086200 = 39² + 40² + ... + 438².

It is a self number, because there is not a number n which added to its sum of digits gives 28086200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28086203) 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, 63179 + ... + 63621.

Almost surely, 2^28086200 is an apocalyptic number.

28086200 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 28086200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32827140).

28086200 is an abundant number, since it is smaller than the sum of its proper divisors (37568080).

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

28086200 is a wasteful number, since it uses less digits than its factorization.

28086200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 28086200 is about 5299.6414973090. The cubic root of 28086200 is about 303.9701898285.

The spelling of 28086200 in words is "twenty-eight million, eighty-six thousand, two hundred".