43728896 has 60 divisors (see below), whose sum is σ = 93189348. Its totient is φ = 20447232.

The previous prime is 43728871. The next prime is 43728901. The reversal of 43728896 is 69882734.

It can be written as a sum of positive squares in 2 ways, for example, as 23658496 + 20070400 = 4864^2 + 4480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 43728896.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 278450 + ... + 278606.

Almost surely, 2^43728896 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 43728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46594674).

43728896 is an abundant number, since it is smaller than the sum of its proper divisors (49460452).

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

43728896 is an equidigital number, since it uses as much as digits as its factorization.

43728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 176 counting only the distinct ones).

The product of its digits is 580608, while the sum is 47.

The square root of 43728896 is about 6612.7827727818. The cubic root of 43728896 is about 352.3082698936.

The spelling of 43728896 in words is "forty-three million, seven hundred twenty-eight thousand, eight hundred ninety-six".