428127 has 32 divisors (see below), whose sum is σ = 729600. Its totient is φ = 217728.

The previous prime is 428093. The next prime is 428137. The reversal of 428127 is 721824.

It is not a de Polignac number, because 428127 - 2¹⁰ = 427103 is a prime.

428127 is an undulating number in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 428097 and 428106.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428127.

It is not an unprimeable number, because it can be changed into a prime (428137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11553 + ... + 11589.

It is an arithmetic number, because the mean of its divisors is an integer number (22800).

2⁴²⁸¹²⁷ is an apocalyptic number.

428127 is a deficient number, since it is larger than the sum of its proper divisors (301473).

428127 is a wasteful number, since it uses less digits than its factorization.

428127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95.

The product of its digits is 896, while the sum is 24.

The square root of 428127 is about 654.3141447348. The cubic root of 428127 is about 75.3686736493.

It can be divided in two parts, 428 and 127, that added together give a palindrome (555).

The spelling of 428127 in words is "four hundred twenty-eight thousand, one hundred twenty-seven".