393528 has 32 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 124128.

The previous prime is 393521. The next prime is 393539. The reversal of 393528 is 825393.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 393495 and 393504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393521) 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, 25 + ... + 887.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2³⁹³⁵²⁸ is an apocalyptic number.

393528 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 393528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

393528 is an abundant number, since it is smaller than the sum of its proper divisors (643272).

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

393528 is a wasteful number, since it uses less digits than its factorization.

393528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 887 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 393528 is about 627.3181011257. The cubic root of 393528 is about 73.2810830742.

The spelling of 393528 in words is "three hundred ninety-three thousand, five hundred twenty-eight".