28756191744000 has 1872 divisors, whose sum is σ = 126953223770880. Its totient is φ = 6225975705600.

The previous prime is 28756191743959. The next prime is 28756191744001. The reversal of 28756191744000 is 44719165782.

28756191744000 is a `hidden beast` number, since 2 + 8 + 7 + 5 + 6 + 191 + 7 + 440 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (28756191744001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4290044649 + ... + 4290051351.

It is an arithmetic number, because the mean of its divisors is an integer number (67816893040).

Almost surely, 2^{28756191744000} is an apocalyptic number.

28756191744000 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 28756191744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63476611885440).

28756191744000 is an abundant number, since it is smaller than the sum of its proper divisors (98197032026880).

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

28756191744000 is a wasteful number, since it uses less digits than its factorization.

28756191744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6781 (or 6739 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 28756191744000 in words is "twenty-eight trillion, seven hundred fifty-six billion, one hundred ninety-one million, seven hundred forty-four thousand".