128168352 has 96 divisors (see below), whose sum is σ = 402615360. Its totient is φ = 39432960.

The previous prime is 128168297. The next prime is 128168377. The reversal of 128168352 is 253861821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 5527 + ... + 16937.

It is an arithmetic number, because the mean of its divisors is an integer number (4193910).

Almost surely, 2^128168352 is an apocalyptic number.

128168352 is a gapful number since it is divisible by the number (12) 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 128168352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201307680).

128168352 is an abundant number, since it is smaller than the sum of its proper divisors (274447008).

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

128168352 is a wasteful number, since it uses less digits than its factorization.

128168352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11443 (or 11429 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 128168352 is about 11321.1462317205. The cubic root of 128168352 is about 504.1892713161.

The spelling of 128168352 in words is "one hundred twenty-eight million, one hundred sixty-eight thousand, three hundred fifty-two".