82428073083 has 48 divisors (see below), whose sum is σ = 125217570816. Its totient is φ = 52188840000.

The previous prime is 82428073037. The next prime is 82428073127. The reversal of 82428073083 is 38037082428.

82428073083 is a `hidden beast` number, since 82 + 428 + 0 + 73 + 0 + 83 = 666.

It is not a de Polignac number, because 82428073083 - 2¹³ = 82428064891 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82428073583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5987458 + ... + 6001208.

It is an arithmetic number, because the mean of its divisors is an integer number (2608699392).

Almost surely, 2^82428073083 is an apocalyptic number.

82428073083 is a deficient number, since it is larger than the sum of its proper divisors (42789497733).

82428073083 is a wasteful number, since it uses less digits than its factorization.

82428073083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14224 (or 14221 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 82428073083 in words is "eighty-two billion, four hundred twenty-eight million, seventy-three thousand, eighty-three".