28505986560 has 800 divisors, whose sum is σ = 109800472320. Its totient is φ = 7050903552.

The previous prime is 28505986541. The next prime is 28505986609. The reversal of 28505986560 is 6568950582.

28505986560 is a `hidden beast` number, since 2 + 8 + 505 + 9 + 86 + 56 + 0 = 666.

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 = 28505986497 and 28505986506.

It is a congruent number.

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, 205078971 + ... + 205079109.

Almost surely, 2^28505986560 is an apocalyptic number.

28505986560 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 28505986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54900236160).

28505986560 is an abundant number, since it is smaller than the sum of its proper divisors (81294485760).

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

28505986560 is a wasteful number, since it uses less digits than its factorization.

28505986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 28505986560 in words is "twenty-eight billion, five hundred five million, nine hundred eighty-six thousand, five hundred sixty".