28993282560 has 960 divisors, whose sum is σ = 120112312320. Its totient is φ = 6628884480.

The previous prime is 28993282559. The next prime is 28993282573. The reversal of 28993282560 is 6528239982.

28993282560 is a `hidden beast` number, since 289 + 93 + 28 + 256 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×28993282560² (a number of 22 digits) contains 22 as substring.

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 = 28993282497 and 28993282506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130014609 + ... + 130014831.

It is an arithmetic number, because the mean of its divisors is an integer number (125116992).

Almost surely, 2^28993282560 is an apocalyptic number.

28993282560 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 28993282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60056156160).

28993282560 is an abundant number, since it is smaller than the sum of its proper divisors (91119029760).

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

28993282560 is a wasteful number, since it uses less digits than its factorization.

28993282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 28993282560 in words is "twenty-eight billion, nine hundred ninety-three million, two hundred eighty-two thousand, five hundred sixty".