428629705728 has 88 divisors (see below), whose sum is σ = 1305662279232. Its totient is φ = 122465624064.

The previous prime is 428629705711. The next prime is 428629705789. The reversal of 428629705728 is 827507926824.

It is a super-4 number, since 4×428629705728⁴ (a number of 48 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9944775 + ... + 9987782.

Almost surely, 2^428629705728 is an apocalyptic number.

428629705728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

428629705728 is an abundant number, since it is smaller than the sum of its proper divisors (877032573504).

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

428629705728 is a wasteful number, since it uses less digits than its factorization.

428629705728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19932587 (or 19932569 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 428629705728 in words is "four hundred twenty-eight billion, six hundred twenty-nine million, seven hundred five thousand, seven hundred twenty-eight".