82431022013428 has 48 divisors (see below), whose sum is σ = 166240362939840. Its totient is φ = 35370289785600.

The previous prime is 82431022013423. The next prime is 82431022013437.

82431022013428 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82431022013428² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82431022013423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175212951 + ... + 175682782.

It is an arithmetic number, because the mean of its divisors is an integer number (3463340894580).

Almost surely, 2^{82431022013428} is an apocalyptic number.

It is an amenable number.

82431022013428 is an abundant number, since it is smaller than the sum of its proper divisors (83809340926412).

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

82431022013428 is a wasteful number, since it uses less digits than its factorization.

82431022013428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350896048 (or 350896046 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 82431022013428 in words is "eighty-two trillion, four hundred thirty-one billion, twenty-two million, thirteen thousand, four hundred twenty-eight".