128782600 has 48 divisors (see below), whose sum is σ = 300287700. Its totient is φ = 51363840.

The previous prime is 128782579. The next prime is 128782609. The reversal of 128782600 is 6287821.

It can be written as a sum of positive squares in 6 ways, for example, as 30891364 + 97891236 = 5558^2 + 9894^2 .

It is not an unprimeable number, because it can be changed into a prime (128782609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 90696 + ... + 92104.

Almost surely, 2^128782600 is an apocalyptic number.

128782600 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 128782600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150143850).

128782600 is an abundant number, since it is smaller than the sum of its proper divisors (171505100).

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

128782600 is a wasteful number, since it uses less digits than its factorization.

128782600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 128782600 is about 11348.2421546247. The cubic root of 128782600 is about 504.9934319310.

The spelling of 128782600 in words is "one hundred twenty-eight million, seven hundred eighty-two thousand, six hundred".