128671829328 has 120 divisors (see below), whose sum is σ = 393440427328. Its totient is φ = 35495599104.

The previous prime is 128671829269. The next prime is 128671829339. The reversal of 128671829328 is 823928176821.

It is a super-2 number, since 2×128671829328² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 54900 + ... + 510252.

Almost surely, 2^128671829328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128671829328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196720213664).

128671829328 is an abundant number, since it is smaller than the sum of its proper divisors (264768598000).

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

128671829328 is a wasteful number, since it uses less digits than its factorization.

128671829328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455429 (or 455394 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The spelling of 128671829328 in words is "one hundred twenty-eight billion, six hundred seventy-one million, eight hundred twenty-nine thousand, three hundred twenty-eight".