43828120 has 64 divisors (see below), whose sum is σ = 113532480. Its totient is φ = 14916096.

The previous prime is 43828061. The next prime is 43828121. The reversal of 43828120 is 2182834.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43828121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43462 + ... + 44458.

It is an arithmetic number, because the mean of its divisors is an integer number (1773945).

Almost surely, 2^43828120 is an apocalyptic number.

43828120 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 43828120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56766240).

43828120 is an abundant number, since it is smaller than the sum of its proper divisors (69704360).

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

43828120 is a wasteful number, since it uses less digits than its factorization.

43828120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 43828120 is about 6620.2809608052. The cubic root of 43828120 is about 352.5745395073.

The spelling of 43828120 in words is "forty-three million, eight hundred twenty-eight thousand, one hundred twenty".