128384282880 has 2304 divisors, whose sum is σ = 610335129600. Its totient is φ = 24843386880.

The previous prime is 128384282869. The next prime is 128384282941. The reversal of 128384282880 is 88282483821.

128384282880 is a `hidden beast` number, since 1 + 283 + 8 + 4 + 282 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×128384282880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2422344934 + ... + 2422344986.

It is an arithmetic number, because the mean of its divisors is an integer number (264902400).

Almost surely, 2^128384282880 is an apocalyptic number.

128384282880 is a gapful number since it is divisible by the number (10) 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 128384282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305167564800).

128384282880 is an abundant number, since it is smaller than the sum of its proper divisors (481950846720).

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

128384282880 is a wasteful number, since it uses less digits than its factorization.

128384282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 128384282880 in words is "one hundred twenty-eight billion, three hundred eighty-four million, two hundred eighty-two thousand, eight hundred eighty".