351828 has 36 divisors (see below), whose sum is σ = 922740. Its totient is φ = 112896.

The previous prime is 351811. The next prime is 351829. The reversal of 351828 is 828153.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 213444 = 372^2 + 462^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 876 + ... + 1212.

2³⁵¹⁸²⁸ 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 351828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461370).

351828 is an abundant number, since it is smaller than the sum of its proper divisors (570912).

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

351828 is a wasteful number, since it uses less digits than its factorization.

351828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 371 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 351828 is about 593.1509082856. The cubic root of 351828 is about 70.5954644557.

The spelling of 351828 in words is "three hundred fifty-one thousand, eight hundred twenty-eight".