7828408965 has 64 divisors (see below), whose sum is σ = 14305165056. Its totient is φ = 3621507072.

The previous prime is 7828408949. The next prime is 7828409009. The reversal of 7828408965 is 5698048287.

7828408965 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7828408965 - 2⁴ = 7828408949 is a prime.

It is a super-2 number, since 2×7828408965² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2640574 + ... + 2643536.

It is an arithmetic number, because the mean of its divisors is an integer number (223518204).

Almost surely, 2^7828408965 is an apocalyptic number.

It is an amenable number.

7828408965 is a deficient number, since it is larger than the sum of its proper divisors (6476756091).

7828408965 is a wasteful number, since it uses less digits than its factorization.

7828408965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798.

The product of its (nonzero) digits is 7741440, while the sum is 57.

The square root of 7828408965 is about 88478.2965760530. The cubic root of 7828408965 is about 1985.5972768393.

The spelling of 7828408965 in words is "seven billion, eight hundred twenty-eight million, four hundred eight thousand, nine hundred sixty-five".