128623360 has 144 divisors (see below), whose sum is σ = 341724096. Its totient is φ = 46137344.

The previous prime is 128623333. The next prime is 128623367. The reversal of 128623360 is 63326821.

It is not an unprimeable number, because it can be changed into a prime (128623367) 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 15 ways as a sum of consecutive naturals, for example, 500352 + ... + 500608.

It is an arithmetic number, because the mean of its divisors is an integer number (2373084).

Almost surely, 2^128623360 is an apocalyptic number.

128623360 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 128623360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170862048).

128623360 is an abundant number, since it is smaller than the sum of its proper divisors (213100736).

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

128623360 is a wasteful number, since it uses less digits than its factorization.

128623360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 128623360 is about 11341.2239198422. The cubic root of 128623360 is about 504.7852042114.

The spelling of 128623360 in words is "one hundred twenty-eight million, six hundred twenty-three thousand, three hundred sixty".