428224800 has 144 divisors (see below), whose sum is σ = 1407097440. Its totient is φ = 113111040.

The previous prime is 428224799. The next prime is 428224829. The reversal of 428224800 is 8422824.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 270411 + ... + 271989.

It is an arithmetic number, because the mean of its divisors is an integer number (9771510).

Almost surely, 2^428224800 is an apocalyptic number.

428224800 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 428224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703548720).

428224800 is an abundant number, since it is smaller than the sum of its proper divisors (978872640).

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

428224800 is a wasteful number, since it uses less digits than its factorization.

428224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 428224800 is about 20693.5932114266. The cubic root of 428224800 is about 753.7441220744.

The spelling of 428224800 in words is "four hundred twenty-eight million, two hundred twenty-four thousand, eight hundred".