82427466472428 has 48 divisors (see below), whose sum is σ = 239788993377024. Its totient is φ = 21409731551040.

The previous prime is 82427466472399. The next prime is 82427466472459.

82427466472428 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44603606475 + ... + 44603608322.

It is an arithmetic number, because the mean of its divisors is an integer number (4995604028688).

Almost surely, 2^{82427466472428} is an apocalyptic number.

It is an amenable number.

82427466472428 is an abundant number, since it is smaller than the sum of its proper divisors (157361526904596).

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

82427466472428 is a wasteful number, since it uses less digits than its factorization.

82427466472428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89207214822 (or 89207214820 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 66.

The spelling of 82427466472428 in words is "eighty-two trillion, four hundred twenty-seven billion, four hundred sixty-six million, four hundred seventy-two thousand, four hundred twenty-eight".