28284800 has 48 divisors (see below), whose sum is σ = 69880200. Its totient is φ = 11312640.

The previous prime is 28284797. The next prime is 28284811. The reversal of 28284800 is 848282.

It is a super-2 number, since 2×28284800² = 1600059822080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1220 + ... + 7619.

Almost surely, 2^28284800 is an apocalyptic number.

28284800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28284800 is an abundant number, since it is smaller than the sum of its proper divisors (41595400).

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

28284800 is an equidigital number, since it uses as much as digits as its factorization.

28284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8863 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 28284800 is about 5318.3456074234. The cubic root of 28284800 is about 304.6849743819.

The spelling of 28284800 in words is "twenty-eight million, two hundred eighty-four thousand, eight hundred".