428846648824 has 64 divisors (see below), whose sum is σ = 886676738400. Its totient is φ = 192824832000.

The previous prime is 428846648809. The next prime is 428846648827.

428846648824 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428846648827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10013184 + ... + 10055920.

Almost surely, 2^428846648824 is an apocalyptic number.

428846648824 is a gapful number since it is divisible by the number (44) 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 428846648824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443338369200).

428846648824 is an abundant number, since it is smaller than the sum of its proper divisors (457830089576).

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

428846648824 is a wasteful number, since it uses less digits than its factorization.

428846648824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43984 (or 43980 counting only the distinct ones).

The product of its digits is 150994944, while the sum is 64.

The spelling of 428846648824 in words is "four hundred twenty-eight billion, eight hundred forty-six million, six hundred forty-eight thousand, eight hundred twenty-four".