82412021428 has 72 divisors (see below), whose sum is σ = 166327348320. Its totient is φ = 35428847040.

The previous prime is 82412021407. The next prime is 82412021429.

82412021428 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82412021393 and 82412021402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82412021429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10209378 + ... + 10217446.

It is an arithmetic number, because the mean of its divisors is an integer number (2310102060).

Almost surely, 2^82412021428 is an apocalyptic number.

It is an amenable number.

82412021428 is an abundant number, since it is smaller than the sum of its proper divisors (83915326892).

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

82412021428 is a wasteful number, since it uses less digits than its factorization.

82412021428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8765 (or 8744 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

It can be divided in two parts, 824120 and 21428, that added together give a palindrome (845548).

The spelling of 82412021428 in words is "eighty-two billion, four hundred twelve million, twenty-one thousand, four hundred twenty-eight".