82427072428 has 48 divisors (see below), whose sum is σ = 147030444288. Its totient is φ = 40427640000.

The previous prime is 82427072369. The next prime is 82427072459.

82427072428 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22330063 + ... + 22333753.

It is an arithmetic number, because the mean of its divisors is an integer number (3063134256).

Almost surely, 2^82427072428 is an apocalyptic number.

It is an amenable number.

82427072428 is a deficient number, since it is larger than the sum of its proper divisors (64603371860).

82427072428 is a wasteful number, since it uses less digits than its factorization.

82427072428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 46.

It can be divided in two parts, 824270 and 72428, that added together give a palindrome (896698).

The spelling of 82427072428 in words is "eighty-two billion, four hundred twenty-seven million, seventy-two thousand, four hundred twenty-eight".