1382824872 has 160 divisors (see below), whose sum is σ = 4550626080. Its totient is φ = 386778240.

The previous prime is 1382824871. The next prime is 1382824987. The reversal of 1382824872 is 2784282831.

1382824872 is a `hidden beast` number, since 13 + 82 + 82 + 487 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1382824871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85203 + ... + 100125.

It is an arithmetic number, because the mean of its divisors is an integer number (28441413).

Almost surely, 2^1382824872 is an apocalyptic number.

1382824872 is a gapful number since it is divisible by the number (12) 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 1382824872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275313040).

1382824872 is an abundant number, since it is smaller than the sum of its proper divisors (3167801208).

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

1382824872 is a wasteful number, since it uses less digits than its factorization.

1382824872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14965 (or 14952 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 1382824872 is about 37186.3533033289. The cubic root of 1382824872 is about 1114.0954334426.

It can be divided in two parts, 13 and 82824872, that added together give a triangular number (82824885 = T₁₂₈₇₀).

The spelling of 1382824872 in words is "one billion, three hundred eighty-two million, eight hundred twenty-four thousand, eight hundred seventy-two".