28559719268560 has 320 divisors, whose sum is σ = 70271616614400. Its totient is φ = 10773482582016.

The previous prime is 28559719268551. The next prime is 28559719268569. The reversal of 28559719268560 is 6586291795582.

It is an interprime number because it is at equal distance from previous prime (28559719268551) and next prime (28559719268569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28559719268569) 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, 46138479931 + ... + 46138480549.

It is an arithmetic number, because the mean of its divisors is an integer number (219598801920).

Almost surely, 2^{28559719268560} is an apocalyptic number.

28559719268560 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 28559719268560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35135808307200).

28559719268560 is an abundant number, since it is smaller than the sum of its proper divisors (41711897345840).

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

28559719268560 is a wasteful number, since it uses less digits than its factorization.

28559719268560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 73.

The spelling of 28559719268560 in words is "twenty-eight trillion, five hundred fifty-nine billion, seven hundred nineteen million, two hundred sixty-eight thousand, five hundred sixty".