28687426560 has 880 divisors, whose sum is σ = 117593861616. Its totient is φ = 6624903168.

The previous prime is 28687426549. The next prime is 28687426589. The reversal of 28687426560 is 6562478682.

28687426560 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 74 + 2 + 6 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5912994816 + 22774431744 = 76896^2 + 150912^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 28687426497 and 28687426506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91652964 + ... + 91653276.

Almost surely, 2^28687426560 is an apocalyptic number.

28687426560 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 28687426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58796930808).

28687426560 is an abundant number, since it is smaller than the sum of its proper divisors (88906435056).

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

28687426560 is a wasteful number, since it uses less digits than its factorization.

28687426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 28687426560 in words is "twenty-eight billion, six hundred eighty-seven million, four hundred twenty-six thousand, five hundred sixty".