393487128 has 72 divisors (see below), whose sum is σ = 1114151220. Its totient is φ = 125447520.

The previous prime is 393487121. The next prime is 393487163. The reversal of 393487128 is 821784393.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×393487128³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393487121) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 32923 + ... + 43253.

Almost surely, 2^393487128 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 393487128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557075610).

393487128 is an abundant number, since it is smaller than the sum of its proper divisors (720664092).

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

393487128 is a wasteful number, since it uses less digits than its factorization.

393487128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10389 (or 10359 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 393487128 is about 19836.5099752956. The cubic root of 393487128 is about 732.7854598397.

The spelling of 393487128 in words is "three hundred ninety-three million, four hundred eighty-seven thousand, one hundred twenty-eight".