428677776824 has 96 divisors (see below), whose sum is σ = 893395984320. Its totient is φ = 192672480000.

The previous prime is 428677776817. The next prime is 428677776827.

428677776824 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 (428677776827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89064242 + ... + 89069054.

It is an arithmetic number, because the mean of its divisors is an integer number (9306208170).

Almost surely, 2^428677776824 is an apocalyptic number.

428677776824 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 428677776824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446697992160).

428677776824 is an abundant number, since it is smaller than the sum of its proper divisors (464718207496).

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

428677776824 is a wasteful number, since it uses less digits than its factorization.

428677776824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5838 counting only the distinct ones).

The product of its digits is 354041856, while the sum is 68.

The spelling of 428677776824 in words is "four hundred twenty-eight billion, six hundred seventy-seven million, seven hundred seventy-six thousand, eight hundred twenty-four".