428048 has 20 divisors (see below), whose sum is σ = 857088. Its totient is φ = 206880.

The previous prime is 428047. The next prime is 428083. The reversal of 428048 is 840824.

428048 is nontrivially palindromic in base 15.

428048 is an admirable number.

It is a super-3 number, since 3×428048³ = 235287400363339776, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (428041) by changing a digit.

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, 65 + ... + 927.

2⁴²⁸⁰⁴⁸ 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 428048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428544).

428048 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

428048 is a wasteful number, since it uses less digits than its factorization.

428048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 428048 is about 654.2537733938. The cubic root of 428048 is about 75.3640375705.

The spelling of 428048 in words is "four hundred twenty-eight thousand, forty-eight".