43828720 has 160 divisors (see below), whose sum is σ = 121117248. Its totient is φ = 14598144.

The previous prime is 43828717. The next prime is 43828723. The reversal of 43828720 is 2782834.

43828720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (43828717) and next prime (43828723).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43828723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654127 + ... + 654193.

Almost surely, 2^43828720 is an apocalyptic number.

43828720 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 43828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60558624).

43828720 is an abundant number, since it is smaller than the sum of its proper divisors (77288528).

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

43828720 is a wasteful number, since it uses less digits than its factorization.

43828720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 43828720 is about 6620.3262759474. The cubic root of 43828720 is about 352.5761483965.

The spelling of 43828720 in words is "forty-three million, eight hundred twenty-eight thousand, seven hundred twenty".