28170759536640 has 1024 divisors, whose sum is σ = 120497159808000. Its totient is φ = 6100006993920.

The previous prime is 28170759536629. The next prime is 28170759536641. The reversal of 28170759536640 is 4663595707182.

28170759536640 is a `hidden beast` number, since 2 + 8 + 1 + 7 + 0 + 7 + 59 + 536 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28170759536641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 588325500 + ... + 588373380.

It is an arithmetic number, because the mean of its divisors is an integer number (117673007625).

It is a 2-persistent number, because it is pandigital, and so is 2⋅28170759536640 = 56341519073280, but 3⋅28170759536640 = 84512278609920 is not.

Almost surely, 2^{28170759536640} is an apocalyptic number.

28170759536640 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 28170759536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60248579904000).

28170759536640 is an abundant number, since it is smaller than the sum of its proper divisors (92326400271360).

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

28170759536640 is an equidigital number, since it uses as much as digits as its factorization.

28170759536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47951 (or 47917 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 28170759536640 in words is "twenty-eight trillion, one hundred seventy billion, seven hundred fifty-nine million, five hundred thirty-six thousand, six hundred forty".