6928247040 has 864 divisors, whose sum is σ = 27768050688. Its totient is φ = 1459814400.

The previous prime is 6928247023. The next prime is 6928247047. The reversal of 6928247040 is 407428296.

It is a junction number, because it is equal to n+sod(n) for n = 6928246983 and 6928247001.

It is not an unprimeable number, because it can be changed into a prime (6928247047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187249902 + ... + 187249938.

Almost surely, 2^6928247040 is an apocalyptic number.

6928247040 is a gapful number since it is divisible by the number (60) 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 6928247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884025344).

6928247040 is an abundant number, since it is smaller than the sum of its proper divisors (20839803648).

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

6928247040 is a wasteful number, since it uses less digits than its factorization.

6928247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 6928247040 is about 83236.0921716055. The cubic root of 6928247040 is about 1906.3726042222.

The spelling of 6928247040 in words is "six billion, nine hundred twenty-eight million, two hundred forty-seven thousand, forty".