428454454824 has 128 divisors (see below), whose sum is σ = 1298612736000. Its totient is φ = 129808094400.

The previous prime is 428454454819. The next prime is 428454454853.

428454454824 is a `hidden beast` number, since 4 + 28 + 4 + 54 + 4 + 548 + 24 = 666.

428454454824 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13743847 + ... + 13774985.

It is an arithmetic number, because the mean of its divisors is an integer number (10145412000).

Almost surely, 2^428454454824 is an apocalyptic number.

428454454824 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 428454454824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649306368000).

428454454824 is an abundant number, since it is smaller than the sum of its proper divisors (870158281176).

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

428454454824 is a wasteful number, since it uses less digits than its factorization.

428454454824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36956 (or 36946 counting only the distinct ones).

The product of its digits is 26214400, while the sum is 54.

The spelling of 428454454824 in words is "four hundred twenty-eight billion, four hundred fifty-four million, four hundred fifty-four thousand, eight hundred twenty-four".