348128 has 48 divisors (see below), whose sum is σ = 798336. Its totient is φ = 147840.

The previous prime is 348097. The next prime is 348149. The reversal of 348128 is 821843.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 348097 and 348106.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348128.

It is an unprimeable number.

348128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8075 + ... + 8117.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2³⁴⁸¹²⁸ 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 348128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168).

348128 is an abundant number, since it is smaller than the sum of its proper divisors (450208).

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

348128 is a wasteful number, since it uses less digits than its factorization.

348128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 348128 is about 590.0237283364. The cubic root of 348128 is about 70.3471193798.

It can be divided in two parts, 348 and 128, that multiplied together give a palindrome (44544).

The spelling of 348128 in words is "three hundred forty-eight thousand, one hundred twenty-eight".