82710743328 has 60 divisors (see below), whose sum is σ = 243250006230. Its totient is φ = 27570246912.

The previous prime is 82710743327. The next prime is 82710743329. The reversal of 82710743328 is 82334701728.

It is an interprime number because it is at equal distance from previous prime (82710743327) and next prime (82710743329).

It can be written as a sum of positive squares in only one way, i.e., 82467757584 + 242985744 = 287172^2 + 15588^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82710743321) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15952413 + ... + 15957596.

Almost surely, 2^82710743328 is an apocalyptic number.

It is an amenable number.

82710743328 is an abundant number, since it is smaller than the sum of its proper divisors (160539262902).

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

82710743328 is a wasteful number, since it uses less digits than its factorization.

82710743328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31910031 (or 31910014 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 82710743328 in words is "eighty-two billion, seven hundred ten million, seven hundred forty-three thousand, three hundred twenty-eight".