1380028416 has 208 divisors, whose sum is σ = 4062211776. Its totient is φ = 414056448.

The previous prime is 1380028367. The next prime is 1380028417. The reversal of 1380028416 is 6148200831.

It is a tau number, because it is divible by the number of its divisors (208).

It is not an unprimeable number, because it can be changed into a prime (1380028417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8466351 + ... + 8466513.

Almost surely, 2^1380028416 is an apocalyptic number.

1380028416 is a gapful number since it is divisible by the number (16) 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 1380028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031105888).

1380028416 is an abundant number, since it is smaller than the sum of its proper divisors (2682183360).

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

1380028416 is a wasteful number, since it uses less digits than its factorization.

1380028416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1380028416 is about 37148.7337065478. The cubic root of 1380028416 is about 1113.3439231506.

The spelling of 1380028416 in words is "one billion, three hundred eighty million, twenty-eight thousand, four hundred sixteen".