1388727648 has 216 divisors, whose sum is σ = 4961842704. Its totient is φ = 360645120.

The previous prime is 1388727617. The next prime is 1388727667. The reversal of 1388727648 is 8467278831.

It is a happy number.

It is a super-2 number, since 2×1388727648² = 3857128960639223808, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1388727594 and 1388727603.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 241090 + ... + 246782.

It is an arithmetic number, because the mean of its divisors is an integer number (22971494).

Almost surely, 2^1388727648 is an apocalyptic number.

1388727648 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 1388727648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480921352).

1388727648 is an abundant number, since it is smaller than the sum of its proper divisors (3573115056).

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

1388727648 is a wasteful number, since it uses less digits than its factorization.

1388727648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738 (or 5716 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 1388727648 is about 37265.6362886775. The cubic root of 1388727648 is about 1115.6784058138.

The spelling of 1388727648 in words is "one billion, three hundred eighty-eight million, seven hundred twenty-seven thousand, six hundred forty-eight".