28614058260480 has 2304 divisors, whose sum is σ = 128226812313600. Its totient is φ = 5729161052160.

The previous prime is 28614058260461. The next prime is 28614058260493. The reversal of 28614058260480 is 8406285041682.

28614058260480 is a `hidden beast` number, since 2 + 8 + 6 + 14 + 0 + 582 + 6 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 24106198447 + ... + 24106199633.

It is an arithmetic number, because the mean of its divisors is an integer number (55653998400).

Almost surely, 2^{28614058260480} is an apocalyptic number.

28614058260480 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 28614058260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64113406156800).

28614058260480 is an abundant number, since it is smaller than the sum of its proper divisors (99612754053120).

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

28614058260480 is a wasteful number, since it uses less digits than its factorization.

28614058260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 28614058260480 in words is "twenty-eight trillion, six hundred fourteen billion, fifty-eight million, two hundred sixty thousand, four hundred eighty".