428282800 has 240 divisors, whose sum is σ = 1217779200. Its totient is φ = 143078400.

The previous prime is 428282791. The next prime is 428282849. The reversal of 428282800 is 8282824.

428282800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 3929146 + ... + 3929254.

It is an arithmetic number, because the mean of its divisors is an integer number (5074080).

Almost surely, 2^428282800 is an apocalyptic number.

428282800 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 428282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608889600).

428282800 is an abundant number, since it is smaller than the sum of its proper divisors (789496400).

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

428282800 is a wasteful number, since it uses less digits than its factorization.

428282800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 428282800 is about 20694.9945639036. The cubic root of 428282800 is about 753.7781502962.

The spelling of 428282800 in words is "four hundred twenty-eight million, two hundred eighty-two thousand, eight hundred".