7828312305 has 32 divisors (see below), whose sum is σ = 13676802048. Its totient is φ = 3791979200.

The previous prime is 7828312301. The next prime is 7828312307. The reversal of 7828312305 is 5032138287.

7828312305 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 7828312305 - 2² = 7828312301 is a prime.

It is a super-2 number, since 2×7828312305² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7828312301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158272 + ... + 201758.

It is an arithmetic number, because the mean of its divisors is an integer number (427400064).

Almost surely, 2^7828312305 is an apocalyptic number.

It is an amenable number.

7828312305 is a deficient number, since it is larger than the sum of its proper divisors (5848489743).

7828312305 is a wasteful number, since it uses less digits than its factorization.

7828312305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44597.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 7828312305 is about 88477.7503387151. The cubic root of 7828312305 is about 1985.5891045264.

The spelling of 7828312305 in words is "seven billion, eight hundred twenty-eight million, three hundred twelve thousand, three hundred five".