418828928 has 128 divisors (see below), whose sum is σ = 991603200. Its totient is φ = 172523520.

The previous prime is 418828897. The next prime is 418828957. The reversal of 418828928 is 829828814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4317776 + ... + 4317872.

It is an arithmetic number, because the mean of its divisors is an integer number (7746900).

Almost surely, 2^418828928 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 418828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495801600).

418828928 is an abundant number, since it is smaller than the sum of its proper divisors (572774272).

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

418828928 is an equidigital number, since it uses as much as digits as its factorization.

418828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its digits is 589824, while the sum is 50.

The square root of 418828928 is about 20465.3103567964. The cubic root of 418828928 is about 748.1905583683.

The spelling of 418828928 in words is "four hundred eighteen million, eight hundred twenty-eight thousand, nine hundred twenty-eight".