28717415648000 has 1152 divisors, whose sum is σ = 80614303660800. Its totient is φ = 10143006720000.

The previous prime is 28717415647997. The next prime is 28717415648021. The reversal of 28717415648000 is 84651471782.

It is a super-3 number, since 3×28717415648000³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106756191866 + ... + 106756192134.

It is an arithmetic number, because the mean of its divisors is an integer number (69977694150).

Almost surely, 2^{28717415648000} is an apocalyptic number.

28717415648000 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 28717415648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40307151830400).

28717415648000 is an abundant number, since it is smaller than the sum of its proper divisors (51896888012800).

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

28717415648000 is a wasteful number, since it uses less digits than its factorization.

28717415648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 53.

The spelling of 28717415648000 in words is "twenty-eight trillion, seven hundred seventeen billion, four hundred fifteen million, six hundred forty-eight thousand".