28240768000000 has 784 divisors, whose sum is σ = 74413705304880. Its totient is φ = 10705305600000.

The previous prime is 28240767999989. The next prime is 28240768000043. The reversal of 28240768000000 is 86704282.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 317311999956 + ... + 317312000044.

Almost surely, 2^{28240768000000} is an apocalyptic number.

28240768000000 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 28240768000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37206852652440).

28240768000000 is an abundant number, since it is smaller than the sum of its proper divisors (46172937304880).

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

28240768000000 is an frugal number, since it uses more digits than its factorization.

28240768000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 28240768000000 in words is "twenty-eight trillion, two hundred forty billion, seven hundred sixty-eight million", and thus it is an aban number.