28587846560 has 288 divisors, whose sum is σ = 85136002560. Its totient is φ = 8991295488.

The previous prime is 28587846503. The next prime is 28587846571. The reversal of 28587846560 is 6564878582.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 28587846560.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18242897 + ... + 18244463.

It is an arithmetic number, because the mean of its divisors is an integer number (295611120).

Almost surely, 2^28587846560 is an apocalyptic number.

28587846560 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 28587846560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42568001280).

28587846560 is an abundant number, since it is smaller than the sum of its proper divisors (56548156000).

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

28587846560 is a wasteful number, since it uses less digits than its factorization.

28587846560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 59.

The spelling of 28587846560 in words is "twenty-eight billion, five hundred eighty-seven million, eight hundred forty-six thousand, five hundred sixty".