388126728 has 160 divisors (see below), whose sum is σ = 1256096160. Its totient is φ = 110661120.

The previous prime is 388126723. The next prime is 388126751. The reversal of 388126728 is 827621883.

388126728 is a `hidden beast` number, since 388 + 1 + 267 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (388126723) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119575 + ... + 122777.

It is an arithmetic number, because the mean of its divisors is an integer number (7850601).

Almost surely, 2^388126728 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 388126728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628048080).

388126728 is an abundant number, since it is smaller than the sum of its proper divisors (867969432).

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

388126728 is a wasteful number, since it uses less digits than its factorization.

388126728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3236 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 388126728 is about 19700.9321606872. The cubic root of 388126728 is about 729.4427021962.

The spelling of 388126728 in words is "three hundred eighty-eight million, one hundred twenty-six thousand, seven hundred twenty-eight".