1387141728 has 48 divisors (see below), whose sum is σ = 4161427200. Its totient is φ = 396326016.

The previous prime is 1387141727. The next prime is 1387141751. The reversal of 1387141728 is 8271417831.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1387141728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387141727) 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 7 ways as a sum of consecutive naturals, for example, 1031428 + ... + 1032771.

It is an arithmetic number, because the mean of its divisors is an integer number (86696400).

Almost surely, 2^1387141728 is an apocalyptic number.

It is an amenable number.

1387141728 is an abundant number, since it is smaller than the sum of its proper divisors (2774285472).

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

1387141728 is a wasteful number, since it uses less digits than its factorization.

1387141728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064219 (or 2064211 counting only the distinct ones).

The product of its digits is 75264, while the sum is 42.

The square root of 1387141728 is about 37244.3516254479. The cubic root of 1387141728 is about 1115.2535443306.

The spelling of 1387141728 in words is "one billion, three hundred eighty-seven million, one hundred forty-one thousand, seven hundred twenty-eight".