128288312832 has 160 divisors (see below), whose sum is σ = 354978708480. Its totient is φ = 41126952960.

The previous prime is 128288312807. The next prime is 128288312833. The reversal of 128288312832 is 238213882821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128288312833) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7753144 + ... + 7769672.

It is an arithmetic number, because the mean of its divisors is an integer number (2218616928).

Almost surely, 2^128288312832 is an apocalyptic number.

128288312832 is a gapful number since it is divisible by the number (12) 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 128288312832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177489354240).

128288312832 is an abundant number, since it is smaller than the sum of its proper divisors (226690395648).

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

128288312832 is a wasteful number, since it uses less digits than its factorization.

128288312832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16744 (or 16728 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The spelling of 128288312832 in words is "one hundred twenty-eight billion, two hundred eighty-eight million, three hundred twelve thousand, eight hundred thirty-two".