428383519200 has 2592 divisors, whose sum is σ = 2053920540672. Its totient is φ = 83026944000.

The previous prime is 428383519159. The next prime is 428383519229. The reversal of 428383519200 is 2915383824.

428383519200 is a `hidden beast` number, since 428 + 3 + 8 + 3 + 5 + 19 + 200 = 666.

428383519200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3270103135 + ... + 3270103265.

It is an arithmetic number, because the mean of its divisors is an integer number (792407616).

Almost surely, 2^428383519200 is an apocalyptic number.

428383519200 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 428383519200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026960270336).

428383519200 is an abundant number, since it is smaller than the sum of its proper divisors (1625537021472).

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

428383519200 is a wasteful number, since it uses less digits than its factorization.

428383519200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 428383519200 in words is "four hundred twenty-eight billion, three hundred eighty-three million, five hundred nineteen thousand, two hundred".