428800914 has 48 divisors (see below), whose sum is σ = 975229632. Its totient is φ = 135906144.

The previous prime is 428800831. The next prime is 428800927. The reversal of 428800914 is 419008824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68629 + ... + 74615.

It is an arithmetic number, because the mean of its divisors is an integer number (20317284).

Almost surely, 2^428800914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428800914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487614816).

428800914 is an abundant number, since it is smaller than the sum of its proper divisors (546428718).

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

428800914 is a wasteful number, since it uses less digits than its factorization.

428800914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6191 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 428800914 is about 20707.5086381728. The cubic root of 428800914 is about 754.0819881904.

The spelling of 428800914 in words is "four hundred twenty-eight million, eight hundred thousand, nine hundred fourteen".