388438128 has 240 divisors, whose sum is σ = 1258391680. Its totient is φ = 110854656.

The previous prime is 388438103. The next prime is 388438133. The reversal of 388438128 is 821834883.

388438128 is a nontrivial binomial coefficient, being equal to C(27873, 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 47 ways as a sum of consecutive naturals, for example, 2382975 + ... + 2383137.

Almost surely, 2^388438128 is an apocalyptic number.

388438128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

388438128 is the 27872-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388438128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629195840).

388438128 is an abundant number, since it is smaller than the sum of its proper divisors (869953552).

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

388438128 is a wasteful number, since it uses less digits than its factorization.

388438128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 388438128 is about 19708.8337554509. The cubic root of 388438128 is about 729.6377310531.

It can be divided in two parts, 38843 and 8128, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 388438128 in words is "three hundred eighty-eight million, four hundred thirty-eight thousand, one hundred twenty-eight".