82431213428 has 48 divisors (see below), whose sum is σ = 147403854864. Its totient is φ = 40326758400.

The previous prime is 82431213427. The next prime is 82431213443.

It is a happy number.

82431213428 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 6154716304 + 76276497124 = 78452^2 + 276182^2 .

It is a super-2 number, since 2×82431213428² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82431213391 and 82431213400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82431213427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38285600 + ... + 38287752.

It is an arithmetic number, because the mean of its divisors is an integer number (3070913643).

Almost surely, 2^82431213428 is an apocalyptic number.

It is an amenable number.

82431213428 is a deficient number, since it is larger than the sum of its proper divisors (64972641436).

82431213428 is a wasteful number, since it uses less digits than its factorization.

82431213428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3330 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The spelling of 82431213428 in words is "eighty-two billion, four hundred thirty-one million, two hundred thirteen thousand, four hundred twenty-eight".