128352 has 48 divisors (see below), whose sum is σ = 387072. Its totient is φ = 36480.

The previous prime is 128351. The next prime is 128377. The reversal of 128352 is 253821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2¹²⁸³⁵² is an apocalyptic number.

128352 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 128352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536).

128352 is an abundant number, since it is smaller than the sum of its proper divisors (258720).

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

128352 is a wasteful number, since it uses less digits than its factorization.

128352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 128352 is about 358.2624736140. The cubic root of 128352 is about 50.4429968182.

The spelling of 128352 in words is "one hundred twenty-eight thousand, three hundred fifty-two".