128267238528 has 1024 divisors, whose sum is σ = 466373376000. Its totient is φ = 34188410880.

The previous prime is 128267238479. The next prime is 128267238569. The reversal of 128267238528 is 825832762821.

128267238528 is a `hidden beast` number, since 1 + 2 + 82 + 6 + 7 + 2 + 38 + 528 = 666.

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

Its product of digits (5160960) is a multiple of the sum of its prime divisors (224).

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 127 ways as a sum of consecutive naturals, for example, 1545388375 + ... + 1545388457.

It is an arithmetic number, because the mean of its divisors is an integer number (455442750).

Almost surely, 2^128267238528 is an apocalyptic number.

128267238528 is a gapful number since it is divisible by the number (18) 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 128267238528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233186688000).

128267238528 is an abundant number, since it is smaller than the sum of its proper divisors (338106137472).

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

128267238528 is a wasteful number, since it uses less digits than its factorization.

128267238528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 128267238528 in words is "one hundred twenty-eight billion, two hundred sixty-seven million, two hundred thirty-eight thousand, five hundred twenty-eight".