43328000 has 80 divisors (see below), whose sum is σ = 108200664. Its totient is φ = 17305600.

The previous prime is 43327997. The next prime is 43328009. The reversal of 43328000 is 82334.

It can be written as a sum of positive squares in 4 ways, for example, as 27709696 + 15618304 = 5264^2 + 3952^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (43328009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 63662 + ... + 64338.

Almost surely, 2^43328000 is an apocalyptic number.

43328000 is a gapful number since it is divisible by the number (40) 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 43328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54100332).

43328000 is an abundant number, since it is smaller than the sum of its proper divisors (64872664).

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

43328000 is an frugal number, since it uses more digits than its factorization.

43328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 43328000 is about 6582.4007778317. The cubic root of 43328000 is about 351.2283371264.

The spelling of 43328000 in words is "forty-three million, three hundred twenty-eight thousand".