38282768 has 40 divisors (see below), whose sum is σ = 77614080. Its totient is φ = 18270720.

The previous prime is 38282747. The next prime is 38282789. The reversal of 38282768 is 86728283.

It is an interprime number because it is at equal distance from previous prime (38282747) and next prime (38282789).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38696 + ... + 39672.

It is an arithmetic number, because the mean of its divisors is an integer number (1940352).

Almost surely, 2^38282768 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 38282768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38807040).

38282768 is an abundant number, since it is smaller than the sum of its proper divisors (39331312).

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

38282768 is a wasteful number, since it uses less digits than its factorization.

38282768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1089 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 38282768 is about 6187.3070070912. The cubic root of 38282768 is about 337.0293921950.

The spelling of 38282768 in words is "thirty-eight million, two hundred eighty-two thousand, seven hundred sixty-eight".