428666000 has 160 divisors (see below), whose sum is σ = 1204899072. Its totient is φ = 144460800.

The previous prime is 428665981. The next prime is 428666027. The reversal of 428666000 is 666824.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 937772 + ... + 938228.

Almost surely, 2^428666000 is an apocalyptic number.

428666000 is a gapful number since it is divisible by the number (40) 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 428666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602449536).

428666000 is an abundant number, since it is smaller than the sum of its proper divisors (776233072).

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

428666000 is a wasteful number, since it uses less digits than its factorization.

428666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 428666000 is about 20704.2507712788. The cubic root of 428666000 is about 754.0028940734.

The spelling of 428666000 in words is "four hundred twenty-eight million, six hundred sixty-six thousand".