8201128327 has 12 divisors (see below), whose sum is σ = 9891985296. Its totient is φ = 6659560800.

The previous prime is 8201128303. The next prime is 8201128343. The reversal of 8201128327 is 7238211028.

It is not a de Polignac number, because 8201128327 - 2¹⁵ = 8201095559 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8201128292 and 8201128301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201128357) 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 11 ways as a sum of consecutive naturals, for example, 1620174 + ... + 1625227.

It is an arithmetic number, because the mean of its divisors is an integer number (824332108).

Almost surely, 2^8201128327 is an apocalyptic number.

8201128327 is a deficient number, since it is larger than the sum of its proper divisors (1690856969).

8201128327 is a wasteful number, since it uses less digits than its factorization.

8201128327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245446 (or 3245427 counting only the distinct ones).

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

The square root of 8201128327 is about 90560.0813106967. The cubic root of 8201128327 is about 2016.6221630443.

It can be divided in two parts, 820112832 and 7, that multiplied together give a square (5740789824 = 75768²).

The spelling of 8201128327 in words is "eight billion, two hundred one million, one hundred twenty-eight thousand, three hundred twenty-seven".