428657900 has 72 divisors (see below), whose sum is σ = 1058932224. Its totient is φ = 149089600.

The previous prime is 428657897. The next prime is 428657921. The reversal of 428657900 is 9756824.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16829 + ... + 33771.

It is an arithmetic number, because the mean of its divisors is an integer number (14707392).

Almost surely, 2^428657900 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 428657900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529466112).

428657900 is an abundant number, since it is smaller than the sum of its proper divisors (630274324).

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

428657900 is a wasteful number, since it uses less digits than its factorization.

428657900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16991 (or 16984 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 428657900 is about 20704.0551583500. The cubic root of 428657900 is about 753.9981448732.

The spelling of 428657900 in words is "four hundred twenty-eight million, six hundred fifty-seven thousand, nine hundred".