43728384 has 160 divisors (see below), whose sum is σ = 137491200. Its totient is φ = 12343296.

The previous prime is 43728361. The next prime is 43728407. The reversal of 43728384 is 48382734.

It is an interprime number because it is at equal distance from previous prime (43728361) and next prime (43728407).

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

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 15 ways as a sum of consecutive naturals, for example, 526807 + ... + 526889.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^43728384 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 43728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600).

43728384 is an abundant number, since it is smaller than the sum of its proper divisors (93762816).

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

43728384 is an frugal number, since it uses more digits than its factorization.

43728384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 43728384 is about 6612.7440597682. The cubic root of 43728384 is about 352.3068948872.

The spelling of 43728384 in words is "forty-three million, seven hundred twenty-eight thousand, three hundred eighty-four".