28701286606080 has 1296 divisors, whose sum is σ = 113687106047424. Its totient is φ = 6884006952960.

The previous prime is 28701286606079. The next prime is 28701286606087. The reversal of 28701286606080 is 8060668210782.

28701286606080 is a `hidden beast` number, since 2 + 8 + 7 + 0 + 1 + 28 + 6 + 6 + 0 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28701286606087) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 8960749759 + ... + 8960752961.

It is an arithmetic number, because the mean of its divisors is an integer number (87721532444).

Almost surely, 2^{28701286606080} is an apocalyptic number.

28701286606080 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 28701286606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56843553023712).

28701286606080 is an abundant number, since it is smaller than the sum of its proper divisors (84985819441344).

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

28701286606080 is an frugal number, since it uses more digits than its factorization.

28701286606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 28701286606080 in words is "twenty-eight trillion, seven hundred one billion, two hundred eighty-six million, six hundred six thousand, eighty".