28580884992 has 800 divisors, whose sum is σ = 100389003264. Its totient is φ = 8012390400.

The previous prime is 28580884973. The next prime is 28580884999. The reversal of 28580884992 is 29948808582.

28580884992 is a `hidden beast` number, since 2 + 8 + 580 + 8 + 8 + 49 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (28580884999) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 608103913 + ... + 608103959.

Almost surely, 2^28580884992 is an apocalyptic number.

28580884992 is a gapful number since it is divisible by the number (22) 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 28580884992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50194501632).

28580884992 is an abundant number, since it is smaller than the sum of its proper divisors (71808118272).

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

28580884992 is a wasteful number, since it uses less digits than its factorization.

28580884992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 28580884992 in words is "twenty-eight billion, five hundred eighty million, eight hundred eighty-four thousand, nine hundred ninety-two".