428076 has 72 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 121440.

The previous prime is 428047. The next prime is 428083. The reversal of 428076 is 670824.

It is a super-3 number, since 3×428076³ = 235333576106468928, which contains 333 as substring.

It is an unprimeable number.

428076 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9085 + ... + 9131.

It is an arithmetic number, because the mean of its divisors is an integer number (17472).

2⁴²⁸⁰⁷⁶ is an apocalyptic number.

428076 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

428076 is an abundant number, since it is smaller than the sum of its proper divisors (829908).

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

428076 is a wasteful number, since it uses less digits than its factorization.

428076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 428076 is about 654.2751714684. The cubic root of 428076 is about 75.3656808029.

It can be divided in two parts, 4280 and 76, that added together give a square (4356 = 66²).

The spelling of 428076 in words is "four hundred twenty-eight thousand, seventy-six".