1382289216 has 504 divisors, whose sum is σ = 5030699616. Its totient is φ = 330946560.

The previous prime is 1382289173. The next prime is 1382289257. The reversal of 1382289216 is 6129822831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37359150 + ... + 37359186.

Almost surely, 2^1382289216 is an apocalyptic number.

1382289216 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 1382289216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515349808).

1382289216 is an abundant number, since it is smaller than the sum of its proper divisors (3648410400).

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

1382289216 is a wasteful number, since it uses less digits than its factorization.

1382289216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 79 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 1382289216 is about 37179.1502861483. The cubic root of 1382289216 is about 1113.9515615304.

The spelling of 1382289216 in words is "one billion, three hundred eighty-two million, two hundred eighty-nine thousand, two hundred sixteen".