428761 has 4 divisors (see below), whose sum is σ = 442624. Its totient is φ = 414900.

The previous prime is 428759. The next prime is 428777. The reversal of 428761 is 167824.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 428761 - 2¹ = 428759 is a prime.

It is a Duffinian number.

428761 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (428731) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6885 + ... + 6946.

It is an arithmetic number, because the mean of its divisors is an integer number (110656).

2⁴²⁸⁷⁶¹ is an apocalyptic number.

It is an amenable number.

428761 is a deficient number, since it is larger than the sum of its proper divisors (13863).

428761 is a wasteful number, since it uses less digits than its factorization.

428761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13862.

The product of its digits is 2688, while the sum is 28.

The square root of 428761 is about 654.7984422706. The cubic root of 428761 is about 75.4058590104.

The spelling of 428761 in words is "four hundred twenty-eight thousand, seven hundred sixty-one".