393228 has 48 divisors (see below), whose sum is σ = 1115520. Its totient is φ = 118800.

The previous prime is 393209. The next prime is 393241. The reversal of 393228 is 822393.

393228 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1023 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (23240).

2³⁹³²²⁸ 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 393228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557760).

393228 is an abundant number, since it is smaller than the sum of its proper divisors (722292).

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

393228 is a wasteful number, since it uses less digits than its factorization.

393228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 393228 is about 627.0789423988. The cubic root of 393228 is about 73.2624567725.

The spelling of 393228 in words is "three hundred ninety-three thousand, two hundred twenty-eight".