351728 has 40 divisors (see below), whose sum is σ = 781200. Its totient is φ = 152064.

The previous prime is 351727. The next prime is 351731. The reversal of 351728 is 827153.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 351697 and 351706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351727) 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, 3908 + ... + 3996.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2³⁵¹⁷²⁸ is an apocalyptic number.

351728 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 351728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390600).

351728 is an abundant number, since it is smaller than the sum of its proper divisors (429472).

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

351728 is a wasteful number, since it uses less digits than its factorization.

351728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 351728 is about 593.0666067146. The cubic root of 351728 is about 70.5887753771.

The spelling of 351728 in words is "three hundred fifty-one thousand, seven hundred twenty-eight".