428445082800 has 720 divisors, whose sum is σ = 1867326019200. Its totient is φ = 92773900800.

The previous prime is 428445082777. The next prime is 428445082853. The reversal of 428445082800 is 8280544824.

428445082800 is a `hidden beast` number, since 4 + 28 + 44 + 508 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10033495 + ... + 10076105.

It is an arithmetic number, because the mean of its divisors is an integer number (2593508360).

Almost surely, 2^428445082800 is an apocalyptic number.

428445082800 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 428445082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933663009600).

428445082800 is an abundant number, since it is smaller than the sum of its proper divisors (1438880936400).

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

428445082800 is a wasteful number, since it uses less digits than its factorization.

428445082800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42671 (or 42647 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 428445082800 in words is "four hundred twenty-eight billion, four hundred forty-five million, eighty-two thousand, eight hundred".