428727 has 8 divisors (see below), whose sum is σ = 615664. Its totient is φ = 263808.

The previous prime is 428693. The next prime is 428731. The reversal of 428727 is 727824.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 428727 - 2⁶ = 428663 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 428694 and 428703.

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 428727.

It is not an unprimeable number, because it can be changed into a prime (428777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5458 + ... + 5535.

It is an arithmetic number, because the mean of its divisors is an integer number (76958).

2⁴²⁸⁷²⁷ is an apocalyptic number.

428727 is a deficient number, since it is larger than the sum of its proper divisors (186937).

428727 is a wasteful number, since it uses less digits than its factorization.

428727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11009.

The product of its digits is 6272, while the sum is 30.

The square root of 428727 is about 654.7724795683. The cubic root of 428727 is about 75.4038657733.

The spelling of 428727 in words is "four hundred twenty-eight thousand, seven hundred twenty-seven".