428003808400 has 135 divisors (see below), whose sum is σ = 1196417487531. Its totient is φ = 146712760320.

The previous prime is 428003808341. The next prime is 428003808413. The reversal of 428003808400 is 4808300824.

The square root of 428003808400 is 654220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 77103960976 + 350899847424 = 277676^2 + 592368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 428003808400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 91588464 + ... + 91593136.

Almost surely, 2^428003808400 is an apocalyptic number.

428003808400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

428003808400 is the 654220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428003808400

428003808400 is an abundant number, since it is smaller than the sum of its proper divisors (768413679131).

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

428003808400 is an frugal number, since it uses more digits than its factorization.

428003808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 428003808400 in words is "four hundred twenty-eight billion, three million, eight hundred eight thousand, four hundred".