428211467200 has 336 divisors, whose sum is σ = 1166856878880. Its totient is φ = 153370624000.

The previous prime is 428211467183. The next prime is 428211467221. The reversal of 428211467200 is 2764112824.

It is a self number, because there is not a number n which added to its sum of digits gives 428211467200.

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 47 ways as a sum of consecutive naturals, for example, 722110104 + ... + 722110696.

It is an arithmetic number, because the mean of its divisors is an integer number (3472788330).

Almost surely, 2^428211467200 is an apocalyptic number.

428211467200 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 428211467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583428439440).

428211467200 is an abundant number, since it is smaller than the sum of its proper divisors (738645411680).

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

428211467200 is a wasteful number, since it uses less digits than its factorization.

428211467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 428211467200 in words is "four hundred twenty-eight billion, two hundred eleven million, four hundred sixty-seven thousand, two hundred".