388523872 has 48 divisors (see below), whose sum is σ = 854827344. Its totient is φ = 172288000.

The previous prime is 388523827. The next prime is 388523879. The reversal of 388523872 is 278325883.

It is a super-2 number, since 2×388523872² = 301901598227744768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388523879) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 972 + ... + 27892.

It is an arithmetic number, because the mean of its divisors is an integer number (17808903).

Almost surely, 2^388523872 is an apocalyptic number.

388523872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388523872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427413672).

388523872 is an abundant number, since it is smaller than the sum of its proper divisors (466303472).

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

388523872 is a wasteful number, since it uses less digits than its factorization.

388523872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26983 (or 26975 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The square root of 388523872 is about 19711.0089036558. The cubic root of 388523872 is about 729.6914139525.

It can be divided in two parts, 38852 and 3872, that added together give a palindrome (42724).

The spelling of 388523872 in words is "three hundred eighty-eight million, five hundred twenty-three thousand, eight hundred seventy-two".