428607168000 has 960 divisors, whose sum is σ = 1650471863040. Its totient is φ = 98334720000.

The previous prime is 428607167921. The next prime is 428607168043. The reversal of 428607168000 is 861706824.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 441407515 + ... + 441408485.

It is an arithmetic number, because the mean of its divisors is an integer number (1719241524).

Almost surely, 2^428607168000 is an apocalyptic number.

428607168000 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 428607168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825235931520).

428607168000 is an abundant number, since it is smaller than the sum of its proper divisors (1221864695040).

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

428607168000 is a wasteful number, since it uses less digits than its factorization.

428607168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 428607168000 in words is "four hundred twenty-eight billion, six hundred seven million, one hundred sixty-eight thousand".