388816128 has 108 divisors (see below), whose sum is σ = 1151603908. Its totient is φ = 126074880.

The previous prime is 388816069. The next prime is 388816151. The reversal of 388816128 is 821618883.

It can be written as a sum of positive squares in 2 ways, for example, as 249387264 + 139428864 = 15792^2 + 11808^2 .

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

It is a congruent number.

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, 82968 + ... + 87528.

Almost surely, 2^388816128 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 388816128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575801954).

388816128 is an abundant number, since it is smaller than the sum of its proper divisors (762787780).

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

388816128 is a wasteful number, since it uses less digits than its factorization.

388816128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4603 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 388816128 is about 19718.4210321212. The cubic root of 388816128 is about 729.8743312792.

The spelling of 388816128 in words is "three hundred eighty-eight million, eight hundred sixteen thousand, one hundred twenty-eight".