128841300 has 288 divisors, whose sum is σ = 502467840. Its totient is φ = 27648000.

The previous prime is 128841281. The next prime is 128841319. The reversal of 128841300 is 3148821.

It is an interprime number because it is at equal distance from previous prime (128841281) and next prime (128841319).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321100 + ... + 321500.

It is an arithmetic number, because the mean of its divisors is an integer number (1744680).

Almost surely, 2^128841300 is an apocalyptic number.

128841300 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 128841300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251233920).

128841300 is an abundant number, since it is smaller than the sum of its proper divisors (373626540).

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

128841300 is a wasteful number, since it uses less digits than its factorization.

128841300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 128841300 is about 11350.8281636187. The cubic root of 128841300 is about 505.0701467764.

The spelling of 128841300 in words is "one hundred twenty-eight million, eight hundred forty-one thousand, three hundred".