393288 has 32 divisors (see below), whose sum is σ = 1124160. Its totient is φ = 112320.

The previous prime is 393287. The next prime is 393299. The reversal of 393288 is 882393.

It is not an unprimeable number, because it can be changed into a prime (393287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1003 + ... + 1338.

It is an arithmetic number, because the mean of its divisors is an integer number (35130).

393288 is a Friedman number, since it can be written as 3*(8*3+2^(9+8)), using all its digits and the basic arithmetic operations.

2³⁹³²⁸⁸ is an apocalyptic number.

It is an amenable number.

393288 is an abundant number, since it is smaller than the sum of its proper divisors (730872).

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

393288 is a wasteful number, since it uses less digits than its factorization.

393288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2353 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 393288 is about 627.1267814406. The cubic root of 393288 is about 73.2661827905.

The spelling of 393288 in words is "three hundred ninety-three thousand, two hundred eighty-eight".