128305760 has 48 divisors (see below), whose sum is σ = 330683472. Its totient is φ = 46656000.

The previous prime is 128305747. The next prime is 128305781. The reversal of 128305760 is 67503821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 34691 + ... + 38210.

It is an arithmetic number, because the mean of its divisors is an integer number (6889239).

Almost surely, 2^128305760 is an apocalyptic number.

128305760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128305760 is an abundant number, since it is smaller than the sum of its proper divisors (202377712).

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

128305760 is a wasteful number, since it uses less digits than its factorization.

128305760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72927 (or 72919 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 128305760 is about 11327.2132495155. The cubic root of 128305760 is about 504.3693857126.

The spelling of 128305760 in words is "one hundred twenty-eight million, three hundred five thousand, seven hundred sixty".