428907127 has 12 divisors (see below), whose sum is σ = 499177728. Its totient is φ = 366977600.

The previous prime is 428907107. The next prime is 428907139. The reversal of 428907127 is 721709824.

It is not a de Polignac number, because 428907127 - 2¹⁹ = 428382839 is a prime.

It is a super-3 number, since 3×428907127³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 428907127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428907107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102199 + ... + 106312.

It is an arithmetic number, because the mean of its divisors is an integer number (41598144).

Almost surely, 2^428907127 is an apocalyptic number.

428907127 is a deficient number, since it is larger than the sum of its proper divisors (70270601).

428907127 is a wasteful number, since it uses less digits than its factorization.

428907127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208550 (or 208539 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 428907127 is about 20710.0730805084. The cubic root of 428907127 is about 754.1442445084.

The spelling of 428907127 in words is "four hundred twenty-eight million, nine hundred seven thousand, one hundred twenty-seven".