388028160 has 216 divisors, whose sum is σ = 1446367104. Its totient is φ = 95477760.

The previous prime is 388028153. The next prime is 388028161. The reversal of 388028160 is 61820883.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388028161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148465 + ... + 151055.

It is an arithmetic number, because the mean of its divisors is an integer number (6696144).

Almost surely, 2^388028160 is an apocalyptic number.

388028160 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 388028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723183552).

388028160 is an abundant number, since it is smaller than the sum of its proper divisors (1058338944).

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

388028160 is a wasteful number, since it uses less digits than its factorization.

388028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 388028160 is about 19698.4303943233. The cubic root of 388028160 is about 729.3809476279.

The spelling of 388028160 in words is "three hundred eighty-eight million, twenty-eight thousand, one hundred sixty".