428253357168 has 360 divisors, whose sum is σ = 1515502720368. Its totient is φ = 111887806464.

The previous prime is 428253357139. The next prime is 428253357173. The reversal of 428253357168 is 861753352824.

428253357168 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 5 + 3 + 3 + 571 + 68 = 666.

428253357168 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9793080 + ... + 9836712.

Almost surely, 2^428253357168 is an apocalyptic number.

428253357168 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 428253357168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757751360184).

428253357168 is an abundant number, since it is smaller than the sum of its proper divisors (1087249363200).

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

428253357168 is a wasteful number, since it uses less digits than its factorization.

428253357168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43781 (or 43765 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 428253357168 in words is "four hundred twenty-eight billion, two hundred fifty-three million, three hundred fifty-seven thousand, one hundred sixty-eight".