388848168 has 128 divisors (see below), whose sum is σ = 1111555200. Its totient is φ = 125908992.

The previous prime is 388848127. The next prime is 388848181. The reversal of 388848168 is 861848883.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1403646 + ... + 1403922.

It is an arithmetic number, because the mean of its divisors is an integer number (8684025).

Almost surely, 2^388848168 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 388848168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555777600).

388848168 is an abundant number, since it is smaller than the sum of its proper divisors (722707032).

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

388848168 is a wasteful number, since it uses less digits than its factorization.

388848168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 446 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 388848168 is about 19719.2334536614. The cubic root of 388848168 is about 729.8943789141.

The spelling of 388848168 in words is "three hundred eighty-eight million, eight hundred forty-eight thousand, one hundred sixty-eight".