428865021536 has 384 divisors, whose sum is σ = 1089939400704. Its totient is φ = 161919959040.

The previous prime is 428865021443. The next prime is 428865021539. The reversal of 428865021536 is 635120568824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428865021539) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 430154990 + ... + 430155986.

It is an arithmetic number, because the mean of its divisors is an integer number (2838383856).

Almost surely, 2^428865021536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428865021536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544969700352).

428865021536 is an abundant number, since it is smaller than the sum of its proper divisors (661074379168).

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

428865021536 is a wasteful number, since it uses less digits than its factorization.

428865021536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 50.

The spelling of 428865021536 in words is "four hundred twenty-eight billion, eight hundred sixty-five million, twenty-one thousand, five hundred thirty-six".