28017183744000 has 1792 divisors, whose sum is σ = 119682611942400. Its totient is φ = 6391332864000.

The previous prime is 28017183743959. The next prime is 28017183744031. The reversal of 28017183744000 is 44738171082.

28017183744000 is a `hidden beast` number, since 2 + 8 + 0 + 171 + 8 + 3 + 74 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 5170173291 + ... + 5170178709.

Almost surely, 2^{28017183744000} is an apocalyptic number.

28017183744000 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 28017183744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59841305971200).

28017183744000 is an abundant number, since it is smaller than the sum of its proper divisors (91665428198400).

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

28017183744000 is a wasteful number, since it uses less digits than its factorization.

28017183744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5497 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 28017183744000 in words is "twenty-eight trillion, seventeen billion, one hundred eighty-three million, seven hundred forty-four thousand".