43828128 has 120 divisors (see below), whose sum is σ = 132670692. Its totient is φ = 14183424.

The previous prime is 43828123. The next prime is 43828151. The reversal of 43828128 is 82182834.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36144144 + 7683984 = 6012^2 + 2772^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 43828092 and 43828101.

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

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 19 ways as a sum of consecutive naturals, for example, 95676 + ... + 96132.

Almost surely, 2^43828128 is an apocalyptic number.

43828128 is a gapful number since it is divisible by the number (48) 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 43828128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66335346).

43828128 is an abundant number, since it is smaller than the sum of its proper divisors (88842564).

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

43828128 is a wasteful number, since it uses less digits than its factorization.

43828128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 499 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 43828128 is about 6620.2815650091. The cubic root of 43828128 is about 352.5745609593.

It can be divided in two parts, 43828 and 128, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 43828128 in words is "forty-three million, eight hundred twenty-eight thousand, one hundred twenty-eight".