28347850085760 has 1536 divisors, whose sum is σ = 112335196446720. Its totient is φ = 6545029201920.

The previous prime is 28347850085749. The next prime is 28347850085761. The reversal of 28347850085760 is 6758005874382.

28347850085760 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 7 + 8 + 50 + 0 + 8 + 576 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28347850085761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12078332907 + ... + 12078335253.

It is an arithmetic number, because the mean of its divisors is an integer number (73134893520).

Almost surely, 2^{28347850085760} is an apocalyptic number.

28347850085760 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 28347850085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56167598223360).

28347850085760 is an abundant number, since it is smaller than the sum of its proper divisors (83987346360960).

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

28347850085760 is a wasteful number, since it uses less digits than its factorization.

28347850085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 28347850085760 in words is "twenty-eight trillion, three hundred forty-seven billion, eight hundred fifty million, eighty-five thousand, seven hundred sixty".