428333121333824 has 56 divisors (see below), whose sum is σ = 971654435501568. Its totient is φ = 183522939586560.

The previous prime is 428333121333823. The next prime is 428333121333827.

428333121333824 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (428333121333823) 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 7 ways as a sum of consecutive naturals, for example, 124335632 + ... + 127734159.

It is an arithmetic number, because the mean of its divisors is an integer number (17350972062528).

Almost surely, 2^{428333121333824} is an apocalyptic number.

It is an amenable number.

428333121333824 is an abundant number, since it is smaller than the sum of its proper divisors (543321314167744).

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

428333121333824 is a wasteful number, since it uses less digits than its factorization.

428333121333824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252073603 (or 252073593 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 50.

The spelling of 428333121333824 in words is "four hundred twenty-eight trillion, three hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-three thousand, eight hundred twenty-four".