382680288 has 144 divisors (see below), whose sum is σ = 1168156080. Its totient is φ = 123088896.

The previous prime is 382680283. The next prime is 382680289. The reversal of 382680288 is 882086283.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382680283) 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, 224656 + ... + 226352.

It is an arithmetic number, because the mean of its divisors is an integer number (8112195).

Almost surely, 2^382680288 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 382680288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584078040).

382680288 is an abundant number, since it is smaller than the sum of its proper divisors (785475792).

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

382680288 is a wasteful number, since it uses less digits than its factorization.

382680288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1731 counting only the distinct ones).

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

The square root of 382680288 is about 19562.2158254120. The cubic root of 382680288 is about 726.0146161937.

The spelling of 382680288 in words is "three hundred eighty-two million, six hundred eighty thousand, two hundred eighty-eight".