389763648 has 84 divisors (see below), whose sum is σ = 1135604028. Its totient is φ = 127779840.

The previous prime is 389763629. The next prime is 389763667. The reversal of 389763648 is 846367983.

It is an interprime number because it is at equal distance from previous prime (389763629) and next prime (389763667).

It can be written as a sum of positive squares in 2 ways, for example, as 148644864 + 241118784 = 12192^2 + 15528^2 .

It is a junction number, because it is equal to n+sod(n) for n = 389763594 and 389763603.

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 11 ways as a sum of consecutive naturals, for example, 29590 + ... + 40682.

Almost surely, 2^389763648 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 389763648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567802014).

389763648 is an abundant number, since it is smaller than the sum of its proper divisors (745840380).

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

389763648 is a wasteful number, since it uses less digits than its factorization.

389763648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11172 (or 11159 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 389763648 is about 19742.4326768511. The cubic root of 389763648 is about 730.4667359875.

It can be divided in two parts, 38976 and 3648, that added together give a palindrome (42624).

The spelling of 389763648 in words is "three hundred eighty-nine million, seven hundred sixty-three thousand, six hundred forty-eight".