1387280752 has 80 divisors (see below), whose sum is σ = 3259791360. Its totient is φ = 563270400.

The previous prime is 1387280737. The next prime is 1387280759. The reversal of 1387280752 is 2570827831.

It is a junction number, because it is equal to n+sod(n) for n = 1387280699 and 1387280708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387280759) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 61149 + ... + 80707.

It is an arithmetic number, because the mean of its divisors is an integer number (40747392).

Almost surely, 2^1387280752 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 1387280752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629895680).

1387280752 is an abundant number, since it is smaller than the sum of its proper divisors (1872510608).

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

1387280752 is a wasteful number, since it uses less digits than its factorization.

1387280752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19622 (or 19616 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The square root of 1387280752 is about 37246.2179556529. The cubic root of 1387280752 is about 1115.2908012372.

The spelling of 1387280752 in words is "one billion, three hundred eighty-seven million, two hundred eighty thousand, seven hundred fifty-two".