1382827068 has 288 divisors, whose sum is σ = 4549708800. Its totient is φ = 344881152.

The previous prime is 1382827037. The next prime is 1382827109. The reversal of 1382827068 is 8607282831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3193380 + ... + 3193812.

It is an arithmetic number, because the mean of its divisors is an integer number (15797600).

Almost surely, 2^1382827068 is an apocalyptic number.

1382827068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382827068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274854400).

1382827068 is an abundant number, since it is smaller than the sum of its proper divisors (3166881732).

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

1382827068 is a wasteful number, since it uses less digits than its factorization.

1382827068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1382827068 is about 37186.3828302781. The cubic root of 1382827068 is about 1114.0960231901.

The spelling of 1382827068 in words is "one billion, three hundred eighty-two million, eight hundred twenty-seven thousand, sixty-eight".