28814910727680 has 1920 divisors, whose sum is σ = 132731584634880. Its totient is φ = 5794003353600.

The previous prime is 28814910727657. The next prime is 28814910727717. The reversal of 28814910727680 is 8672701941882.

28814910727680 is a `hidden beast` number, since 2 + 8 + 8 + 1 + 491 + 0 + 72 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1814875902 + ... + 1814891778.

It is an arithmetic number, because the mean of its divisors is an integer number (69131033664).

Almost surely, 2^{28814910727680} is an apocalyptic number.

28814910727680 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 28814910727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66365792317440).

28814910727680 is an abundant number, since it is smaller than the sum of its proper divisors (103916673907200).

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

28814910727680 is a wasteful number, since it uses less digits than its factorization.

28814910727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15969 (or 15936 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 28814910727680 in words is "twenty-eight trillion, eight hundred fourteen billion, nine hundred ten million, seven hundred twenty-seven thousand, six hundred eighty".