28710844416000 has 960 divisors, whose sum is σ = 109040124735360. Its totient is φ = 7448769331200.

The previous prime is 28710844415971. The next prime is 28710844416029. The reversal of 28710844416000 is 61444801782.

28710844416000 is a `hidden beast` number, since 2 + 8 + 71 + 0 + 84 + 441 + 60 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28710844415971) and next prime (28710844416029).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 2045944984 + ... + 2045959016.

It is an arithmetic number, because the mean of its divisors is an integer number (113583463266).

Almost surely, 2^{28710844416000} is an apocalyptic number.

28710844416000 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 28710844416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54520062367680).

28710844416000 is an abundant number, since it is smaller than the sum of its proper divisors (80329280319360).

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

28710844416000 is an equidigital number, since it uses as much as digits as its factorization.

28710844416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14122 (or 14080 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 28710844416000 in words is "twenty-eight trillion, seven hundred ten billion, eight hundred forty-four million, four hundred sixteen thousand".