1387328 has 28 divisors (see below), whose sum is σ = 2811780. Its totient is φ = 678912.

The previous prime is 1387327. The next prime is 1387349. The reversal of 1387328 is 8237831.

It can be written as a sum of positive squares in 2 ways, for example, as 1149184 + 238144 = 1072^2 + 488^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1387294 and 1387303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3188 + ... + 3596.

2^1387328 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 1387328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405890).

1387328 is an abundant number, since it is smaller than the sum of its proper divisors (1424452).

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

1387328 is an equidigital number, since it uses as much as digits as its factorization.

1387328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 1387328 is about 1177.8488867423. The cubic root of 1387328 is about 111.5303462616.

The spelling of 1387328 in words is "one million, three hundred eighty-seven thousand, three hundred twenty-eight".