28300504840800 has 288 divisors, whose sum is σ = 92384501076000. Its totient is φ = 7524994498560.

The previous prime is 28300504840793. The next prime is 28300504840837. The reversal of 28300504840800 is 804840500382.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4429564006 + ... + 4429570394.

It is an arithmetic number, because the mean of its divisors is an integer number (320779517625).

Almost surely, 2^{28300504840800} is an apocalyptic number.

28300504840800 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 28300504840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46192250538000).

28300504840800 is an abundant number, since it is smaller than the sum of its proper divisors (64083996235200).

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

28300504840800 is a wasteful number, since it uses less digits than its factorization.

28300504840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11458 (or 11445 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 28300504840800 in words is "twenty-eight trillion, three hundred billion, five hundred four million, eight hundred forty thousand, eight hundred".