8231728286340 has 480 divisors, whose sum is σ = 29029476833280. Its totient is φ = 1938861619200.

The previous prime is 8231728286333. The next prime is 8231728286377. The reversal of 8231728286340 is 436828271328.

8231728286340 is a `hidden beast` number, since 8 + 2 + 3 + 17 + 2 + 8 + 286 + 340 = 666.

It is a super-2 number, since 2×8231728286340² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58033705 + ... + 58175375.

It is an arithmetic number, because the mean of its divisors is an integer number (60478076736).

Almost surely, 2^{8231728286340} 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 8231728286340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14514738416640).

8231728286340 is an abundant number, since it is smaller than the sum of its proper divisors (20797748546940).

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

8231728286340 is a wasteful number, since it uses less digits than its factorization.

8231728286340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141825 (or 141814 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 8231728286340 in words is "eight trillion, two hundred thirty-one billion, seven hundred twenty-eight million, two hundred eighty-six thousand, three hundred forty".