28287713171232 has 192 divisors, whose sum is σ = 83881970928000. Its totient is φ = 9273217766400.

The previous prime is 28287713171213. The next prime is 28287713171233. The reversal of 28287713171232 is 23217131778282.

28287713171232 is a `hidden beast` number, since 2 + 8 + 28 + 7 + 71 + 317 + 1 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28287713171233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11914543 + ... + 14090129.

It is an arithmetic number, because the mean of its divisors is an integer number (436885265250).

Almost surely, 2^{28287713171232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28287713171232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41940985464000).

28287713171232 is an abundant number, since it is smaller than the sum of its proper divisors (55594257756768).

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

28287713171232 is a wasteful number, since it uses less digits than its factorization.

28287713171232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175856 (or 2175842 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The spelling of 28287713171232 in words is "twenty-eight trillion, two hundred eighty-seven billion, seven hundred thirteen million, one hundred seventy-one thousand, two hundred thirty-two".