128564982 has 256 divisors, whose sum is σ = 396748800. Its totient is φ = 30233088.

The previous prime is 128564977. The next prime is 128564987. The reversal of 128564982 is 289465821.

128564982 is a `hidden beast` number, since 1 + 2 + 8 + 564 + 9 + 82 = 666.

It is an interprime number because it is at equal distance from previous prime (128564977) and next prime (128564987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128564987) by changing a digit.

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, 6766569 + ... + 6766587.

It is an arithmetic number, because the mean of its divisors is an integer number (1549800).

Almost surely, 2^128564982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128564982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198374400).

128564982 is an abundant number, since it is smaller than the sum of its proper divisors (268183818).

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

128564982 is a wasteful number, since it uses less digits than its factorization.

128564982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 128564982 is about 11338.6499196333. The cubic root of 128564982 is about 504.7088240732.

The spelling of 128564982 in words is "one hundred twenty-eight million, five hundred sixty-four thousand, nine hundred eighty-two".