428217507168 has 96 divisors (see below), whose sum is σ = 1227881410560. Its totient is φ = 129591221760.

The previous prime is 428217507079. The next prime is 428217507251. The reversal of 428217507168 is 861705712824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×428217507168² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 428217507168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531553 + ... + 1067231.

It is an arithmetic number, because the mean of its divisors is an integer number (12790431360).

Almost surely, 2^428217507168 is an apocalyptic number.

428217507168 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 428217507168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613940705280).

428217507168 is an abundant number, since it is smaller than the sum of its proper divisors (799663903392).

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

428217507168 is a wasteful number, since it uses less digits than its factorization.

428217507168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536460 (or 536452 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 428217507168 in words is "four hundred twenty-eight billion, two hundred seventeen million, five hundred seven thousand, one hundred sixty-eight".