1387888512 has 128 divisors (see below), whose sum is σ = 3760128000. Its totient is φ = 453519360.

The previous prime is 1387888441. The next prime is 1387888519. The reversal of 1387888512 is 2158887831.

1387888512 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387888519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7266337 + ... + 7266527.

It is an arithmetic number, because the mean of its divisors is an integer number (29376000).

Almost surely, 2^1387888512 is an apocalyptic number.

1387888512 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 1387888512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880064000).

1387888512 is an abundant number, since it is smaller than the sum of its proper divisors (2372239488).

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

1387888512 is a wasteful number, since it uses less digits than its factorization.

1387888512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its digits is 860160, while the sum is 51.

The square root of 1387888512 is about 37254.3757429916. The cubic root of 1387888512 is about 1115.4536450298.

The spelling of 1387888512 in words is "one billion, three hundred eighty-seven million, eight hundred eighty-eight thousand, five hundred twelve".