428968008 has 192 divisors, whose sum is σ = 1401724800. Its totient is φ = 119059200.

The previous prime is 428968003. The next prime is 428968079. The reversal of 428968008 is 800869824.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428968003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4247158 + ... + 4247258.

It is an arithmetic number, because the mean of its divisors is an integer number (7300650).

Almost surely, 2^428968008 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 428968008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700862400).

428968008 is an abundant number, since it is smaller than the sum of its proper divisors (972756792).

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

428968008 is a wasteful number, since it uses less digits than its factorization.

428968008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 428968008 is about 20711.5428686518. The cubic root of 428968008 is about 754.1799250249.

The spelling of 428968008 in words is "four hundred twenty-eight million, nine hundred sixty-eight thousand, eight".