128536848 has 120 divisors (see below), whose sum is σ = 405703200. Its totient is φ = 38934720.

The previous prime is 128536817. The next prime is 128536861. The reversal of 128536848 is 848635821.

128536848 is a `hidden beast` number, since 1 + 285 + 368 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51043 + ... + 53501.

It is an arithmetic number, because the mean of its divisors is an integer number (3380860).

Almost surely, 2^128536848 is an apocalyptic number.

128536848 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 128536848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202851600).

128536848 is an abundant number, since it is smaller than the sum of its proper divisors (277166352).

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

128536848 is a wasteful number, since it uses less digits than its factorization.

128536848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2475 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 128536848 is about 11337.4092278615. The cubic root of 128536848 is about 504.6720060799.

It can be divided in two parts, 12853 and 6848, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 128536848 in words is "one hundred twenty-eight million, five hundred thirty-six thousand, eight hundred forty-eight".