28287849600 has 144 divisors (see below), whose sum is σ = 100937632770. Its totient is φ = 7543418880.

The previous prime is 28287849589. The next prime is 28287849683. The reversal of 28287849600 is 694878282.

28287849600 is a `hidden beast` number, since 2 + 8 + 28 + 7 + 8 + 4 + 9 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 27098427456 + 1189422144 = 164616^2 + 34488^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 462309 + ... + 519908.

Almost surely, 2^28287849600 is an apocalyptic number.

28287849600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28287849600 is an abundant number, since it is smaller than the sum of its proper divisors (72649783170).

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

28287849600 is a wasteful number, since it uses less digits than its factorization.

28287849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982247 (or 982227 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 28287849600 in words is "twenty-eight billion, two hundred eighty-seven million, eight hundred forty-nine thousand, six hundred".