6287113728 has 240 divisors, whose sum is σ = 21508206720. Its totient is φ = 1796069376.

The previous prime is 6287113727. The next prime is 6287113823. The reversal of 6287113728 is 8273117826.

6287113728 is a `hidden beast` number, since 628 + 7 + 1 + 13 + 7 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6287113727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867303 + ... + 874521.

It is an arithmetic number, because the mean of its divisors is an integer number (89617528).

Almost surely, 2^6287113728 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 6287113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10754103360).

6287113728 is an abundant number, since it is smaller than the sum of its proper divisors (15221092992).

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

6287113728 is an frugal number, since it uses more digits than its factorization.

6287113728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7259 (or 7231 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 6287113728 is about 79291.3218959049. The cubic root of 6287113728 is about 1845.6546397943.

The spelling of 6287113728 in words is "six billion, two hundred eighty-seven million, one hundred thirteen thousand, seven hundred twenty-eight".