1382776128 has 84 divisors (see below), whose sum is σ = 4004500500. Its totient is φ = 456155136.

The previous prime is 1382776117. The next prime is 1382776139. The reversal of 1382776128 is 8216772831.

1382776128 is a `hidden beast` number, since 1 + 3 + 8 + 27 + 7 + 612 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1382776117) and next prime (1382776139).

It can be written as a sum of positive squares in 2 ways, for example, as 1085834304 + 296941824 = 32952^2 + 17232^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43498 + ... + 68246.

It is an arithmetic number, because the mean of its divisors is an integer number (47672625).

Almost surely, 2^1382776128 is an apocalyptic number.

1382776128 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 1382776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002250250).

1382776128 is an abundant number, since it is smaller than the sum of its proper divisors (2621724372).

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

1382776128 is a wasteful number, since it uses less digits than its factorization.

1382776128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24864 (or 24851 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 1382776128 is about 37185.6978958309. The cubic root of 1382776128 is about 1114.0823428224.

The spelling of 1382776128 in words is "one billion, three hundred eighty-two million, seven hundred seventy-six thousand, one hundred twenty-eight".