82657075628 has 24 divisors (see below), whose sum is σ = 145044244800. Its totient is φ = 41216007168.

The previous prime is 82657075607. The next prime is 82657075637.

It is a happy number.

82657075628 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×82657075628³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2380778 + ... + 2415246.

It is an arithmetic number, because the mean of its divisors is an integer number (6043510200).

Almost surely, 2^82657075628 is an apocalyptic number.

It is an amenable number.

82657075628 is a deficient number, since it is larger than the sum of its proper divisors (62387169172).

82657075628 is a wasteful number, since it uses less digits than its factorization.

82657075628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36089 (or 36087 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 82657075628 in words is "eighty-two billion, six hundred fifty-seven million, seventy-five thousand, six hundred twenty-eight".