28854460229760 has 2304 divisors, whose sum is σ = 119171167315200. Its totient is φ = 6372673781760.

The previous prime is 28854460229743. The next prime is 28854460229767. The reversal of 28854460229760 is 6792206445882.

28854460229760 is a `hidden beast` number, since 2 + 8 + 8 + 5 + 4 + 460 + 22 + 97 + 60 = 666.

It is not an unprimeable number, because it can be changed into a prime (28854460229767) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 65727699621 + ... + 65727700059.

It is an arithmetic number, because the mean of its divisors is an integer number (51723596925).

Almost surely, 2^{28854460229760} is an apocalyptic number.

28854460229760 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 28854460229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59585583657600).

28854460229760 is an abundant number, since it is smaller than the sum of its proper divisors (90316707085440).

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

28854460229760 is a wasteful number, since it uses less digits than its factorization.

28854460229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 28854460229760 in words is "twenty-eight trillion, eight hundred fifty-four billion, four hundred sixty million, two hundred twenty-nine thousand, seven hundred sixty".