428288 has 36 divisors (see below), whose sum is σ = 981120. Its totient is φ = 182784.

The previous prime is 428273. The next prime is 428297. The reversal of 428288 is 882824.

It is a super-2 number, since 2×428288² = 366861221888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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

It is a zygodrome in base 13.

It is an unprimeable number.

428288 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1673 + ... + 1911.

2⁴²⁸²⁸⁸ 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 428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490560).

428288 is an abundant number, since it is smaller than the sum of its proper divisors (552832).

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

428288 is an equidigital number, since it uses as much as digits as its factorization.

428288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The square root of 428288 is about 654.4371627590. The cubic root of 428288 is about 75.3781200952.

The spelling of 428288 in words is "four hundred twenty-eight thousand, two hundred eighty-eight".