347628 has 24 divisors (see below), whose sum is σ = 826560. Its totient is φ = 113680.

The previous prime is 347621. The next prime is 347629. The reversal of 347628 is 826743.

It is a d-powerful number, because it can be written as 3⁹ + 4⁹ + 6³ + 7² + 2¹⁵ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 347595 and 347604.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 347628.

It is not an unprimeable number, because it can be changed into a prime (347621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (34440).

2³⁴⁷⁶²⁸ is an apocalyptic number.

It is an amenable number.

347628 is an abundant number, since it is smaller than the sum of its proper divisors (478932).

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

347628 is a wasteful number, since it uses less digits than its factorization.

347628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 555 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 347628 is about 589.5998643148. The cubic root of 347628 is about 70.3134244817.

It can be divided in two parts, 3 and 47628, that multiplied together give a square (142884 = 378²).

The spelling of 347628 in words is "three hundred forty-seven thousand, six hundred twenty-eight".