82421212428 has 72 divisors (see below), whose sum is σ = 215405904896. Its totient is φ = 26545125600.

The previous prime is 82421212427. The next prime is 82421212439.

82421212428 is a `hidden beast` number, since 8 + 2 + 4 + 212 + 12 + 428 = 666.

82421212428 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82421212392 and 82421212401.

It is not an unprimeable number, because it can be changed into a prime (82421212427) 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, 645675 + ... + 762717.

Almost surely, 2^82421212428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82421212428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107702952448).

82421212428 is an abundant number, since it is smaller than the sum of its proper divisors (132984692468).

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

82421212428 is a wasteful number, since it uses less digits than its factorization.

82421212428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117715 (or 117710 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

It can be divided in two parts, 82421 and 212428, that added together give a square (294849 = 543²).

The spelling of 82421212428 in words is "eighty-two billion, four hundred twenty-one million, two hundred twelve thousand, four hundred twenty-eight".