428769 has 24 divisors (see below), whose sum is σ = 696384. Its totient is φ = 252000.

The previous prime is 428759. The next prime is 428777. The reversal of 428769 is 967824.

It is not a de Polignac number, because 428769 - 2¹⁵ = 396001 is a prime.

It is a super-2 number, since 2×428769² = 367685710722, which contains 22 as substring.

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (428759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6004 + ... + 6074.

It is an arithmetic number, because the mean of its divisors is an integer number (29016).

2⁴²⁸⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

428769 is a deficient number, since it is larger than the sum of its proper divisors (267615).

428769 is a wasteful number, since it uses less digits than its factorization.

428769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 146 counting only the distinct ones).

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

The square root of 428769 is about 654.8045509921. The cubic root of 428769 is about 75.4063279921.

It can be divided in two parts, 4287 and 69, that added together give a square (4356 = 66²).

The spelling of 428769 in words is "four hundred twenty-eight thousand, seven hundred sixty-nine".