428673376824 has 64 divisors (see below), whose sum is σ = 1336124816640. Its totient is φ = 111343733760.

The previous prime is 428673376793. The next prime is 428673376829.

It is a happy number.

428673376824 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×428673376824² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428673376829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115981209 + ... + 115984904.

It is an arithmetic number, because the mean of its divisors is an integer number (20876950260).

Almost surely, 2^428673376824 is an apocalyptic number.

428673376824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428673376824 is an abundant number, since it is smaller than the sum of its proper divisors (907451439816).

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

428673376824 is a wasteful number, since it uses less digits than its factorization.

428673376824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231966140 (or 231966136 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 60.

The spelling of 428673376824 in words is "four hundred twenty-eight billion, six hundred seventy-three million, three hundred seventy-six thousand, eight hundred twenty-four".