128093328 has 120 divisors (see below), whose sum is σ = 394037280. Its totient is φ = 38522880.

The previous prime is 128093323. The next prime is 128093341. The reversal of 128093328 is 823390821.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 128093292 and 128093301.

It is not an unprimeable number, because it can be changed into a prime (128093321) 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 23 ways as a sum of consecutive naturals, for example, 305503 + ... + 305921.

It is an arithmetic number, because the mean of its divisors is an integer number (3283644).

Almost surely, 2^128093328 is an apocalyptic number.

128093328 is a gapful number since it is divisible by the number (18) 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 128093328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197018640).

128093328 is an abundant number, since it is smaller than the sum of its proper divisors (265943952).

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

128093328 is a wasteful number, since it uses less digits than its factorization.

128093328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 128093328 is about 11317.8323012846. The cubic root of 128093328 is about 504.0908755257.

The spelling of 128093328 in words is "one hundred twenty-eight million, ninety-three thousand, three hundred twenty-eight".