6428312840 has 64 divisors (see below), whose sum is σ = 15167617200. Its totient is φ = 2448617472.

The previous prime is 6428312791. The next prime is 6428312843. The reversal of 6428312840 is 482138246.

It can be written as a sum of positive squares in 8 ways, for example, as 3968748004 + 2459564836 = 62998^2 + 49594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6428312794 and 6428312803.

It is not an unprimeable number, because it can be changed into a prime (6428312843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46724 + ... + 122636.

Almost surely, 2^6428312840 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 6428312840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583808600).

6428312840 is an abundant number, since it is smaller than the sum of its proper divisors (8739304360).

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

6428312840 is a wasteful number, since it uses less digits than its factorization.

6428312840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76026 (or 76022 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 6428312840 is about 80176.7599744465. The cubic root of 6428312840 is about 1859.3693510795.

The spelling of 6428312840 in words is "six billion, four hundred twenty-eight million, three hundred twelve thousand, eight hundred forty".