28805414400000 has 2808 divisors, whose sum is σ = 125941362674400. Its totient is φ = 6584094720000.

The previous prime is 28805414399917. The next prime is 28805414400011. The reversal of 28805414400000 is 441450882.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4115059199997 + ... + 4115059200003.

Almost surely, 2^{28805414400000} is an apocalyptic number.

28805414400000 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 28805414400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62970681337200).

28805414400000 is an abundant number, since it is smaller than the sum of its proper divisors (97135948274400).

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

28805414400000 is an frugal number, since it uses more digits than its factorization.

28805414400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Adding to 28805414400000 its reverse (441450882), we get a palindrome (28805855850882).

The spelling of 28805414400000 in words is "twenty-eight trillion, eight hundred five billion, four hundred fourteen million, four hundred thousand".