381184128 has 96 divisors (see below), whose sum is σ = 1181320140. Its totient is φ = 117282816.

The previous prime is 381184123. The next prime is 381184159. The reversal of 381184128 is 821481183.

It can be written as a sum of positive squares in 2 ways, for example, as 365880384 + 15303744 = 19128^2 + 3912^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 381184092 and 381184101.

It is not an unprimeable number, because it can be changed into a prime (381184123) 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 11 ways as a sum of consecutive naturals, for example, 2250 + ... + 27702.

Almost surely, 2^381184128 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 381184128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590660070).

381184128 is an abundant number, since it is smaller than the sum of its proper divisors (800136012).

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

381184128 is a wasteful number, since it uses less digits than its factorization.

381184128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25486 (or 25471 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 381184128 is about 19523.9373078280. The cubic root of 381184128 is about 725.0672172320.

The spelling of 381184128 in words is "three hundred eighty-one million, one hundred eighty-four thousand, one hundred twenty-eight".