345928 has 16 divisors (see below), whose sum is σ = 707760. Its totient is φ = 157200.

The previous prime is 345923. The next prime is 345937. The reversal of 345928 is 829543.

It is a self number, because there is not a number n which added to its sum of digits gives 345928.

It is not an unprimeable number, because it can be changed into a prime (345923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1878 + ... + 2053.

It is an arithmetic number, because the mean of its divisors is an integer number (44235).

345928 is a Friedman number, since it can be written as 8*(93^2*5-4), using all its digits and the basic arithmetic operations.

2³⁴⁵⁹²⁸ is an apocalyptic number.

It is an amenable number.

345928 is an abundant number, since it is smaller than the sum of its proper divisors (361832).

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

345928 is a wasteful number, since it uses less digits than its factorization.

345928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3944 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 345928 is about 588.1564417738. The cubic root of 345928 is about 70.1986195728.

The spelling of 345928 in words is "three hundred forty-five thousand, nine hundred twenty-eight".