388928160 has 144 divisors (see below), whose sum is σ = 1385040384. Its totient is φ = 99196416.

The previous prime is 388928153. The next prime is 388928161. The reversal of 388928160 is 61829883.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×388928160² = 302530227281971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (388928161) 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 23 ways as a sum of consecutive naturals, for example, 27249 + ... + 38991.

It is an arithmetic number, because the mean of its divisors is an integer number (9618336).

Almost surely, 2^388928160 is an apocalyptic number.

388928160 is a gapful number since it is divisible by the number (30) 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 388928160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692520192).

388928160 is an abundant number, since it is smaller than the sum of its proper divisors (996112224).

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

388928160 is a wasteful number, since it uses less digits than its factorization.

388928160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11787 (or 11776 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 388928160 is about 19721.2616229287. The cubic root of 388928160 is about 729.9444256185.

The spelling of 388928160 in words is "three hundred eighty-eight million, nine hundred twenty-eight thousand, one hundred sixty".