128308320 has 192 divisors, whose sum is σ = 513354240. Its totient is φ = 29320704.

The previous prime is 128308307. The next prime is 128308321. The reversal of 128308320 is 23803821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128308321) 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 31 ways as a sum of consecutive naturals, for example, 28119 + ... + 32361.

It is an arithmetic number, because the mean of its divisors is an integer number (2673720).

Almost surely, 2^128308320 is an apocalyptic number.

128308320 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 128308320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256677120).

128308320 is an abundant number, since it is smaller than the sum of its proper divisors (385045920).

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

128308320 is a wasteful number, since it uses less digits than its factorization.

128308320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 128308320 is about 11327.3262511504. The cubic root of 128308320 is about 504.3727401400.

The spelling of 128308320 in words is "one hundred twenty-eight million, three hundred eight thousand, three hundred twenty".