1383949728 has 216 divisors, whose sum is σ = 4607612100. Its totient is φ = 392878080.

The previous prime is 1383949669. The next prime is 1383949799. The reversal of 1383949728 is 8279493831.

It can be written as a sum of positive squares in 2 ways, for example, as 1322922384 + 61027344 = 36372^2 + 7812^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3965298 + ... + 3965646.

Almost surely, 2^1383949728 is an apocalyptic number.

1383949728 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 1383949728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303806050).

1383949728 is an abundant number, since it is smaller than the sum of its proper divisors (3223662372).

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

1383949728 is a wasteful number, since it uses less digits than its factorization.

1383949728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 642 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 1383949728 is about 37201.4748094750. The cubic root of 1383949728 is about 1114.3974377692.

The spelling of 1383949728 in words is "one billion, three hundred eighty-three million, nine hundred forty-nine thousand, seven hundred twenty-eight".