428624000 has 256 divisors, whose sum is σ = 1260230400. Its totient is φ = 141926400.

The previous prime is 428623999. The next prime is 428624017. The reversal of 428624000 is 426824.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4815956 + ... + 4816044.

It is an arithmetic number, because the mean of its divisors is an integer number (4922775).

Almost surely, 2^428624000 is an apocalyptic number.

428624000 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 428624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630115200).

428624000 is an abundant number, since it is smaller than the sum of its proper divisors (831606400).

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

428624000 is an equidigital number, since it uses as much as digits as its factorization.

428624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 428624000 is about 20703.2364619641. The cubic root of 428624000 is about 753.9782679419.

The spelling of 428624000 in words is "four hundred twenty-eight million, six hundred twenty-four thousand".