82629292628 has 12 divisors (see below), whose sum is σ = 144665007060. Its totient is φ = 41296433472.

The previous prime is 82629292583. The next prime is 82629292667.

82629292628 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 32246103184 + 50383189444 = 179572^2 + 224462^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4543001 + ... + 4561152.

It is an arithmetic number, because the mean of its divisors is an integer number (12055417255).

Almost surely, 2^82629292628 is an apocalyptic number.

It is an amenable number.

82629292628 is a deficient number, since it is larger than the sum of its proper divisors (62035714432).

82629292628 is a wasteful number, since it uses less digits than its factorization.

82629292628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9106426 (or 9106424 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 56.

The spelling of 82629292628 in words is "eighty-two billion, six hundred twenty-nine million, two hundred ninety-two thousand, six hundred twenty-eight".