128918304 has 144 divisors (see below), whose sum is σ = 388009440. Its totient is φ = 42094080.

The previous prime is 128918303. The next prime is 128918341. The reversal of 128918304 is 403819821.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (128918303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 458644 + ... + 458924.

It is an arithmetic number, because the mean of its divisors is an integer number (2694510).

Almost surely, 2^128918304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128918304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194004720).

128918304 is an abundant number, since it is smaller than the sum of its proper divisors (259091136).

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

128918304 is an equidigital number, since it uses as much as digits as its factorization.

128918304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 128918304 is about 11354.2196561455. The cubic root of 128918304 is about 505.1707477378.

The spelling of 128918304 in words is "one hundred twenty-eight million, nine hundred eighteen thousand, three hundred four".