28071235584000 has 3584 divisors, whose sum is σ = 128727265305600. Its totient is φ = 5962412851200.

The previous prime is 28071235583999. The next prime is 28071235584013. The reversal of 28071235584000 is 48553217082.

28071235584000 is a `hidden beast` number, since 2 + 8 + 0 + 7 + 1 + 235 + 5 + 8 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 355332095961 + ... + 355332096039.

Almost surely, 2^{28071235584000} is an apocalyptic number.

28071235584000 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 28071235584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64363632652800).

28071235584000 is an abundant number, since it is smaller than the sum of its proper divisors (100656029721600).

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

28071235584000 is an frugal number, since it uses more digits than its factorization.

28071235584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 28071235584000 in words is "twenty-eight trillion, seventy-one billion, two hundred thirty-five million, five hundred eighty-four thousand".