347928 has 64 divisors (see below), whose sum is σ = 1056000. Its totient is φ = 93312.

The previous prime is 347899. The next prime is 347929. The reversal of 347928 is 829743.

Its product of digits (12096) is a multiple of the sum of its prime factors (144).

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 347928.

It is not an unprimeable number, because it can be changed into a prime (347929) by changing a digit.

347928 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 15 ways as a sum of consecutive naturals, for example, 3138 + ... + 3246.

It is an arithmetic number, because the mean of its divisors is an integer number (16500).

2³⁴⁷⁹²⁸ is an apocalyptic number.

347928 is a gapful number since it is divisible by the number (38) 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 347928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528000).

347928 is an abundant number, since it is smaller than the sum of its proper divisors (708072).

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

347928 is a wasteful number, since it uses less digits than its factorization.

347928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 140 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 347928 is about 589.8542192780. The cubic root of 347928 is about 70.3336452946. Note that the first 3 decimals are identical.

It can be divided in two parts, 347 and 928, that added together give a triangular number (1275 = T₅₀).

The spelling of 347928 in words is "three hundred forty-seven thousand, nine hundred twenty-eight".