393287328 has 324 divisors, whose sum is σ = 1390686570. Its totient is φ = 104993280.

The previous prime is 393287309. The next prime is 393287339. The reversal of 393287328 is 823782393.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 332259984 + 61027344 = 18228^2 + 7812^2 .

It is a nude number because it is divisible by every one of its digits.

Its product of digits (435456) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12686673 + ... + 12686703.

Almost surely, 2^393287328 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 393287328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695343285).

393287328 is an abundant number, since it is smaller than the sum of its proper divisors (997399242).

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

393287328 is a wasteful number, since it uses less digits than its factorization.

393287328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 72 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 393287328 is about 19831.4731676696. The cubic root of 393287328 is about 732.6614106123.

It can be divided in two parts, 39328 and 7328, that added together give a 6-th power (46656 = 6⁶).

The spelling of 393287328 in words is "three hundred ninety-three million, two hundred eighty-seven thousand, three hundred twenty-eight".