428876 has 36 divisors (see below), whose sum is σ = 928368. Its totient is φ = 169728.

The previous prime is 428873. The next prime is 428899. The reversal of 428876 is 678824.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8066 + ... + 8118.

It is an arithmetic number, because the mean of its divisors is an integer number (25788).

2⁴²⁸⁸⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464184).

428876 is an abundant number, since it is smaller than the sum of its proper divisors (499492).

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

428876 is a wasteful number, since it uses less digits than its factorization.

428876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 428876 is about 654.8862496648. The cubic root of 428876 is about 75.4126000609.

The spelling of 428876 in words is "four hundred twenty-eight thousand, eight hundred seventy-six".