428779008 has 300 divisors, whose sum is σ = 1495793772. Its totient is φ = 121927680.

The previous prime is 428778983. The next prime is 428779027. The reversal of 428779008 is 800977824.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2032023 + ... + 2032233.

Almost surely, 2^428779008 is an apocalyptic number.

428779008 is a gapful number since it is divisible by the number (48) 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 428779008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747896886).

428779008 is an abundant number, since it is smaller than the sum of its proper divisors (1067014764).

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

428779008 is an equidigital number, since it uses as much as digits as its factorization.

428779008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 428779008 is about 20706.9796928475. The cubic root of 428779008 is about 754.0691467988.

The spelling of 428779008 in words is "four hundred twenty-eight million, seven hundred seventy-nine thousand, eight".