28801860151680 has 2304 divisors, whose sum is σ = 128315259072000. Its totient is φ = 5946006528000.

The previous prime is 28801860151679. The next prime is 28801860151697. The reversal of 28801860151680 is 8615106810882.

28801860151680 is a `hidden beast` number, since 2 + 8 + 8 + 0 + 18 + 601 + 5 + 16 + 8 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 50441085795 + ... + 50441086365.

It is an arithmetic number, because the mean of its divisors is an integer number (55692386750).

Almost surely, 2^{28801860151680} is an apocalyptic number.

28801860151680 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 28801860151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64157629536000).

28801860151680 is an abundant number, since it is smaller than the sum of its proper divisors (99513398920320).

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

28801860151680 is a wasteful number, since it uses less digits than its factorization.

28801860151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 28801860151680 in words is "twenty-eight trillion, eight hundred one billion, eight hundred sixty million, one hundred fifty-one thousand, six hundred eighty".