381889728 has 280 divisors, whose sum is σ = 1275338064. Its totient is φ = 111974400.

The previous prime is 381889727. The next prime is 381889733. The reversal of 381889728 is 827988183.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (381889727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2109798 + ... + 2109978.

Almost surely, 2^381889728 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 381889728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637669032).

381889728 is an abundant number, since it is smaller than the sum of its proper divisors (893448336).

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

381889728 is a wasteful number, since it uses less digits than its factorization.

381889728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The square root of 381889728 is about 19541.9990789069. Note that the first 3 decimals coincide. The cubic root of 381889728 is about 725.5143258083.

The spelling of 381889728 in words is "three hundred eighty-one million, eight hundred eighty-nine thousand, seven hundred twenty-eight".