1382958752 has 72 divisors (see below), whose sum is σ = 3198345696. Its totient is φ = 586873728.

The previous prime is 1382958739. The next prime is 1382958769. The reversal of 1382958752 is 2578592831.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1382958752.

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 11 ways as a sum of consecutive naturals, for example, 157223 + ... + 165785.

It is an arithmetic number, because the mean of its divisors is an integer number (44421468).

Almost surely, 2^1382958752 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 1382958752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599172848).

1382958752 is an abundant number, since it is smaller than the sum of its proper divisors (1815386944).

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

1382958752 is a wasteful number, since it uses less digits than its factorization.

1382958752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8690 (or 8675 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 50.

The square root of 1382958752 is about 37188.1533824953. The cubic root of 1382958752 is about 1114.1313864849.

The spelling of 1382958752 in words is "one billion, three hundred eighty-two million, nine hundred fifty-eight thousand, seven hundred fifty-two".