28809068840640 has 336 divisors, whose sum is σ = 108274758527520. Its totient is φ = 6972692643840.

The previous prime is 28809068840611. The next prime is 28809068840659. The reversal of 28809068840640 is 4604886090882.

28809068840640 is a `hidden beast` number, since 2 + 8 + 80 + 90 + 68 + 8 + 406 + 4 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 18809626 + ... + 20283494.

Almost surely, 2^{28809068840640} is an apocalyptic number.

28809068840640 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 28809068840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54137379263760).

28809068840640 is an abundant number, since it is smaller than the sum of its proper divisors (79465689686880).

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

28809068840640 is a wasteful number, since it uses less digits than its factorization.

28809068840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474520 (or 1474507 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 28809068840640 in words is "twenty-eight trillion, eight hundred nine billion, sixty-eight million, eight hundred forty thousand, six hundred forty".