8628000271 has 32 divisors (see below), whose sum is σ = 9761342976. Its totient is φ = 7558272000.

The previous prime is 8628000257. The next prime is 8628000299. The reversal of 8628000271 is 1720008268.

It is a 10-Lehmer number, since φ(8628000271) divides (8628000271-1)¹⁰.

It is a cyclic number.

It is not a de Polignac number, because 8628000271 - 2¹⁵ = 8627967503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8628000211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17716390 + ... + 17716876.

It is an arithmetic number, because the mean of its divisors is an integer number (305041968).

Almost surely, 2^8628000271 is an apocalyptic number.

8628000271 is a deficient number, since it is larger than the sum of its proper divisors (1133342705).

8628000271 is a wasteful number, since it uses less digits than its factorization.

8628000271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943.

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 8628000271 is about 92887.0296166262. The cubic root of 8628000271 is about 2051.0207307004.

The spelling of 8628000271 in words is "eight billion, six hundred twenty-eight million, two hundred seventy-one", and thus it is an aban number.