428220502848 has 896 divisors, whose sum is σ = 1441035878400. Its totient is φ = 124017868800.

The previous prime is 428220502783. The next prime is 428220502849. The reversal of 428220502848 is 848205022824.

428220502848 is a `hidden beast` number, since 4 + 2 + 82 + 20 + 502 + 8 + 48 = 666.

It is a super-2 number, since 2×428220502848² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428220502849) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2392293223 + ... + 2392293401.

Almost surely, 2^428220502848 is an apocalyptic number.

428220502848 is a gapful number since it is divisible by the number (48) 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 428220502848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720517939200).

428220502848 is an abundant number, since it is smaller than the sum of its proper divisors (1012815375552).

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

428220502848 is a wasteful number, since it uses less digits than its factorization.

428220502848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

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

The spelling of 428220502848 in words is "four hundred twenty-eight billion, two hundred twenty million, five hundred two thousand, eight hundred forty-eight".