16381288 has 96 divisors (see below), whose sum is σ = 40629600. Its totient is φ = 6115200.

The previous prime is 16381279. The next prime is 16381297. The reversal of 16381288 is 88218361.

It is an interprime number because it is at equal distance from previous prime (16381279) and next prime (16381297).

It is a plaindrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124983 + ... + 125113.

It is an arithmetic number, because the mean of its divisors is an integer number (423225).

Almost surely, 2^16381288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16381288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20314800).

16381288 is an abundant number, since it is smaller than the sum of its proper divisors (24248312).

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

16381288 is a wasteful number, since it uses less digits than its factorization.

16381288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 16381288 is about 4047.3803873617. The cubic root of 16381288 is about 253.9701537667.

It can be divided in two parts, 1638 and 1288, that added together give a triangular number (2926 = T₇₆).

The spelling of 16381288 in words is "sixteen million, three hundred eighty-one thousand, two hundred eighty-eight".