28381019016000 has 1792 divisors, whose sum is σ = 113459470645248. Its totient is φ = 6115295232000.

The previous prime is 28381019015953. The next prime is 28381019016067. The reversal of 28381019016000 is 61091018382.

It is a self number, because there is not a number n which added to its sum of digits gives 28381019016000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49187207712 + ... + 49187208288.

It is an arithmetic number, because the mean of its divisors is an integer number (63314436744).

Almost surely, 2^{28381019016000} is an apocalyptic number.

28381019016000 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 28381019016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56729735322624).

28381019016000 is an abundant number, since it is smaller than the sum of its proper divisors (85078451629248).

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

28381019016000 is a wasteful number, since it uses less digits than its factorization.

28381019016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 28381019016000 in words is "twenty-eight trillion, three hundred eighty-one billion, nineteen million, sixteen thousand".