28205743318560 has 1152 divisors, whose sum is σ = 108308299357440. Its totient is φ = 6660872110080.

The previous prime is 28205743318451. The next prime is 28205743318567. The reversal of 28205743318560 is 6581334750282.

28205743318560 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 5 + 7 + 43 + 31 + 8 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28205743318497 and 28205743318506.

It is not an unprimeable number, because it can be changed into a prime (28205743318567) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29048138875 + ... + 29048139845.

It is an arithmetic number, because the mean of its divisors is an integer number (94017620970).

Almost surely, 2^{28205743318560} is an apocalyptic number.

28205743318560 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 28205743318560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54154149678720).

28205743318560 is an abundant number, since it is smaller than the sum of its proper divisors (80102556038880).

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

28205743318560 is a wasteful number, since it uses less digits than its factorization.

28205743318560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 28205743318560 in words is "twenty-eight trillion, two hundred five billion, seven hundred forty-three million, three hundred eighteen thousand, five hundred sixty".