28861574676480 has 1280 divisors, whose sum is σ = 126328289472000. Its totient is φ = 6088116142080.

The previous prime is 28861574676443. The next prime is 28861574676521. The reversal of 28861574676480 is 8467647516882.

28861574676480 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 1 + 5 + 74 + 6 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28861574676399 and 28861574676408.

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 63 ways as a sum of consecutive naturals, for example, 6440875840 + ... + 6440880320.

It is an arithmetic number, because the mean of its divisors is an integer number (98693976150).

Almost surely, 2^{28861574676480} is an apocalyptic number.

28861574676480 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 28861574676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63164144736000).

28861574676480 is an abundant number, since it is smaller than the sum of its proper divisors (97466714795520).

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

28861574676480 is an frugal number, since it uses more digits than its factorization.

28861574676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 28861574676480 in words is "twenty-eight trillion, eight hundred sixty-one billion, five hundred seventy-four million, six hundred seventy-six thousand, four hundred eighty".