381342528 has 168 divisors, whose sum is σ = 1257401600. Its totient is φ = 108241920.

The previous prime is 381342527. The next prime is 381342529. The reversal of 381342528 is 825243183.

It is an interprime number because it is at equal distance from previous prime (381342527) and next prime (381342529).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×381342528² = 290844247322861568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 381342492 and 381342501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381342523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1092498 + ... + 1092846.

Almost surely, 2^381342528 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 381342528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628700800).

381342528 is an abundant number, since it is smaller than the sum of its proper divisors (876059072).

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

381342528 is a wasteful number, since it uses less digits than its factorization.

381342528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 632 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 381342528 is about 19527.9934453082. The cubic root of 381342528 is about 725.1676365428.

The spelling of 381342528 in words is "three hundred eighty-one million, three hundred forty-two thousand, five hundred twenty-eight".