28641247488000 has 4608 divisors, whose sum is σ = 133803618923520. Its totient is φ = 5962412851200.

The previous prime is 28641247487981. The next prime is 28641247488031. The reversal of 28641247488000 is 88474214682.

28641247488000 is a `hidden beast` number, since 2 + 86 + 4 + 12 + 474 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 392345855964 + ... + 392345856036.

It is an arithmetic number, because the mean of its divisors is an integer number (29037243690).

Almost surely, 2^{28641247488000} is an apocalyptic number.

28641247488000 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 28641247488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66901809461760).

28641247488000 is an abundant number, since it is smaller than the sum of its proper divisors (105162371435520).

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

28641247488000 is an equidigital number, since it uses as much as digits as its factorization.

28641247488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 28641247488000 in words is "twenty-eight trillion, six hundred forty-one billion, two hundred forty-seven million, four hundred eighty-eight thousand".