388896768 has 192 divisors, whose sum is σ = 1242914400. Its totient is φ = 119439360.

The previous prime is 388896721. The next prime is 388896779. The reversal of 388896768 is 867698883.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718578 + ... + 719118.

Almost surely, 2^388896768 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 388896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621457200).

388896768 is an abundant number, since it is smaller than the sum of its proper divisors (854017632).

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

388896768 is a wasteful number, since it uses less digits than its factorization.

388896768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 559 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 388896768 is about 19720.4657145819. The cubic root of 388896768 is about 729.9247861458.

The spelling of 388896768 in words is "three hundred eighty-eight million, eight hundred ninety-six thousand, seven hundred sixty-eight".