16288384 has 80 divisors (see below), whose sum is σ = 38569770. Its totient is φ = 6849024.

The previous prime is 16288381. The next prime is 16288387. The reversal of 16288384 is 48388261.

It is an interprime number because it is at equal distance from previous prime (16288381) and next prime (16288387).

It can be written as a sum of positive squares in only one way, i.e., 12446784 + 3841600 = 3528^2 + 1960^2 .

It is a super-2 number, since 2×16288384² = 530622906662912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16288381) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 307302 + ... + 307354.

Almost surely, 2^16288384 is an apocalyptic number.

16288384 is a gapful number since it is divisible by the number (14) 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 16288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284885).

16288384 is an abundant number, since it is smaller than the sum of its proper divisors (22281386).

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

16288384 is an frugal number, since it uses more digits than its factorization.

16288384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 62 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 16288384 is about 4035.8870152669. The cubic root of 16288384 is about 253.4891254719.

The spelling of 16288384 in words is "sixteen million, two hundred eighty-eight thousand, three hundred eighty-four".