28086400 has 96 divisors (see below), whose sum is σ = 70955280. Its totient is φ = 10982400.

The previous prime is 28086391. The next prime is 28086433. The reversal of 28086400 is 468082.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214335 + ... + 214465.

Almost surely, 2^28086400 is an apocalyptic number.

28086400 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 28086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35477640).

28086400 is an abundant number, since it is smaller than the sum of its proper divisors (42868880).

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

28086400 is a wasteful number, since it uses less digits than its factorization.

28086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 28086400 is about 5299.6603664763. The cubic root of 28086400 is about 303.9709113441.

The spelling of 28086400 in words is "twenty-eight million, eighty-six thousand, four hundred".