352128 has 64 divisors (see below), whose sum is σ = 1077120. Its totient is φ = 99840.

The previous prime is 352123. The next prime is 352133. The reversal of 352128 is 821253.

It is an interprime number because it is at equal distance from previous prime (352123) and next prime (352133).

It is a tau number, because it is divible by the number of its divisors (64).

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 (352123) 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, 2623 + ... + 2753.

It is an arithmetic number, because the mean of its divisors is an integer number (16830).

2³⁵²¹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538560).

352128 is an abundant number, since it is smaller than the sum of its proper divisors (724992).

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

352128 is a wasteful number, since it uses less digits than its factorization.

352128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

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

The square root of 352128 is about 593.4037411409. The cubic root of 352128 is about 70.6155240896.

The spelling of 352128 in words is "three hundred fifty-two thousand, one hundred twenty-eight".