428982289824 has 48 divisors (see below), whose sum is σ = 1228449287520. Its totient is φ = 129994632960.

The previous prime is 428982289819. The next prime is 428982289847.

428982289824 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203115559 + ... + 203117670.

It is an arithmetic number, because the mean of its divisors is an integer number (25592693490).

Almost surely, 2^428982289824 is an apocalyptic number.

428982289824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428982289824 is an abundant number, since it is smaller than the sum of its proper divisors (799466997696).

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

428982289824 is a wasteful number, since it uses less digits than its factorization.

428982289824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406233253 (or 406233245 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 66.

The spelling of 428982289824 in words is "four hundred twenty-eight billion, nine hundred eighty-two million, two hundred eighty-nine thousand, eight hundred twenty-four".