428328 has 40 divisors (see below), whose sum is σ = 1201530. Its totient is φ = 142560.

The previous prime is 428303. The next prime is 428339. The reversal of 428328 is 823824.

It can be written as a sum of positive squares in only one way, i.e., 311364 + 116964 = 558^2 + 342^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

428328 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 9 ways as a sum of consecutive naturals, for example, 318 + ... + 978.

2⁴²⁸³²⁸ 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 428328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600765).

428328 is an abundant number, since it is smaller than the sum of its proper divisors (773202).

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

428328 is a wasteful number, since it uses less digits than its factorization.

428328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 666 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 428328 is about 654.4677226571. The cubic root of 428328 is about 75.3804666712.

The spelling of 428328 in words is "four hundred twenty-eight thousand, three hundred twenty-eight".