428309271 has 72 divisors (see below), whose sum is σ = 724127040. Its totient is φ = 242371584.

The previous prime is 428309263. The next prime is 428309279. The reversal of 428309271 is 172903824.

It is an interprime number because it is at equal distance from previous prime (428309263) and next prime (428309279).

It is not a de Polignac number, because 428309271 - 2³ = 428309263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428309279) 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 71 ways as a sum of consecutive naturals, for example, 1791970 + ... + 1792208.

It is an arithmetic number, because the mean of its divisors is an integer number (10057320).

Almost surely, 2^428309271 is an apocalyptic number.

428309271 is a deficient number, since it is larger than the sum of its proper divisors (295817769).

428309271 is a wasteful number, since it uses less digits than its factorization.

428309271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 428309271 is about 20695.6341048058. The cubic root of 428309271 is about 753.7936796383.

The spelling of 428309271 in words is "four hundred twenty-eight million, three hundred nine thousand, two hundred seventy-one".