428772277824 has 84 divisors (see below), whose sum is σ = 1246968480912. Its totient is φ = 129930986240.

The previous prime is 428772277823. The next prime is 428772277841.

428772277824 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (428772277823) 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 11 ways as a sum of consecutive naturals, for example, 9204822 + ... + 9251285.

It is an arithmetic number, because the mean of its divisors is an integer number (14844862868).

Almost surely, 2^428772277824 is an apocalyptic number.

428772277824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428772277824 is an abundant number, since it is smaller than the sum of its proper divisors (818196203088).

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

428772277824 is a wasteful number, since it uses less digits than its factorization.

428772277824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18456144 (or 18456123 counting only the distinct ones).

The product of its digits is 39337984, while the sum is 60.

The spelling of 428772277824 in words is "four hundred twenty-eight billion, seven hundred seventy-two million, two hundred seventy-seven thousand, eight hundred twenty-four".