428251527168 has 384 divisors, whose sum is σ = 1276256217600. Its totient is φ = 127004573696.

The previous prime is 428251527149. The next prime is 428251527211. The reversal of 428251527168 is 861725152824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 428251527168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213804055 + ... + 213806057.

It is an arithmetic number, because the mean of its divisors is an integer number (3323583900).

Almost surely, 2^428251527168 is an apocalyptic number.

428251527168 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 428251527168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638128108800).

428251527168 is an abundant number, since it is smaller than the sum of its proper divisors (848004690432).

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

428251527168 is a wasteful number, since it uses less digits than its factorization.

428251527168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2137 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 51.

The spelling of 428251527168 in words is "four hundred twenty-eight billion, two hundred fifty-one million, five hundred twenty-seven thousand, one hundred sixty-eight".