1386872928 has 384 divisors, whose sum is σ = 4959360000. Its totient is φ = 372874752.

The previous prime is 1386872911. The next prime is 1386872933. The reversal of 1386872928 is 8292786831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9307798 + ... + 9307946.

It is an arithmetic number, because the mean of its divisors is an integer number (12915000).

Almost surely, 2^1386872928 is an apocalyptic number.

1386872928 is a gapful number since it is divisible by the number (18) 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 1386872928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479680000).

1386872928 is an abundant number, since it is smaller than the sum of its proper divisors (3572487072).

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

1386872928 is an equidigital number, since it uses as much as digits as its factorization.

1386872928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 180 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1386872928 is about 37240.7428497338. The cubic root of 1386872928 is about 1115.1815018199.

The spelling of 1386872928 in words is "one billion, three hundred eighty-six million, eight hundred seventy-two thousand, nine hundred twenty-eight".