428027578176 has 112 divisors (see below), whose sum is σ = 1236949406208. Its totient is φ = 129547200000.

The previous prime is 428027578141. The next prime is 428027578201. The reversal of 428027578176 is 671875720824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1615051 + ... + 1861301.

Almost surely, 2^428027578176 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 428027578176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618474703104).

428027578176 is an abundant number, since it is smaller than the sum of its proper divisors (808921828032).

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

428027578176 is a wasteful number, since it uses less digits than its factorization.

428027578176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247100 (or 247090 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 57.

The spelling of 428027578176 in words is "four hundred twenty-eight billion, twenty-seven million, five hundred seventy-eight thousand, one hundred seventy-six".