428065826272 has 192 divisors, whose sum is σ = 1037517465600. Its totient is φ = 169856096256.

The previous prime is 428065826183. The next prime is 428065826273. The reversal of 428065826272 is 272628560824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428065826273) 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 31 ways as a sum of consecutive naturals, for example, 37547229 + ... + 37558627.

It is an arithmetic number, because the mean of its divisors is an integer number (5403736800).

Almost surely, 2^428065826272 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 428065826272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518758732800).

428065826272 is an abundant number, since it is smaller than the sum of its proper divisors (609451639328).

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

428065826272 is a wasteful number, since it uses less digits than its factorization.

428065826272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11673 (or 11665 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 52.

The spelling of 428065826272 in words is "four hundred twenty-eight billion, sixty-five million, eight hundred twenty-six thousand, two hundred seventy-two".