128849120 has 96 divisors (see below), whose sum is σ = 325721088. Its totient is φ = 47996928.

The previous prime is 128849099. The next prime is 128849131. The reversal of 128849120 is 21948821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345254 + ... + 345626.

It is an arithmetic number, because the mean of its divisors is an integer number (3392928).

Almost surely, 2^128849120 is an apocalyptic number.

128849120 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 128849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162860544).

128849120 is an abundant number, since it is smaller than the sum of its proper divisors (196871968).

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

128849120 is a wasteful number, since it uses less digits than its factorization.

128849120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 128849120 is about 11351.1726266496. The cubic root of 128849120 is about 505.0803649509.

The spelling of 128849120 in words is "one hundred twenty-eight million, eight hundred forty-nine thousand, one hundred twenty".