428766 has 32 divisors (see below), whose sum is σ = 967680. Its totient is φ = 125664.

The previous prime is 428759. The next prime is 428777. The reversal of 428766 is 667824.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1675 + ... + 1913.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁴²⁸⁷⁶⁶ is an apocalyptic number.

428766 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 428766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

428766 is an abundant number, since it is smaller than the sum of its proper divisors (538914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428766 is a wasteful number, since it uses less digits than its factorization.

428766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280.

The product of its digits is 16128, while the sum is 33.

The square root of 428766 is about 654.8022602282. The cubic root of 428766 is about 75.4061521246.

The spelling of 428766 in words is "four hundred twenty-eight thousand, seven hundred sixty-six".