428440000 has 70 divisors (see below), whose sum is σ = 1062491144. Its totient is φ = 171360000.

The previous prime is 428439953. The next prime is 428440007. The reversal of 428440000 is 44824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 34645 + ... + 45355.

Almost surely, 2^428440000 is an apocalyptic number.

428440000 is a gapful number since it is divisible by the number (40) 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 428440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531245572).

428440000 is an abundant number, since it is smaller than the sum of its proper divisors (634051144).

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

428440000 is an equidigital number, since it uses as much as digits as its factorization.

428440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10743 (or 10718 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 428440000 is about 20698.7922352972. The cubic root of 428440000 is about 753.8703630667.

Adding to 428440000 its reverse (44824), we get a palindrome (428484824).

The spelling of 428440000 in words is "four hundred twenty-eight million, four hundred forty thousand".