43036128 has 144 divisors (see below), whose sum is σ = 130908960. Its totient is φ = 13381632.

The previous prime is 43036127. The next prime is 43036139. The reversal of 43036128 is 82163034.

It is a happy number.

43036128 is a `hidden beast` number, since 43 + 0 + 3 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43036127) 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 23 ways as a sum of consecutive naturals, for example, 483508 + ... + 483596.

It is an arithmetic number, because the mean of its divisors is an integer number (909090).

Almost surely, 2^43036128 is an apocalyptic number.

43036128 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 43036128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65454480).

43036128 is an abundant number, since it is smaller than the sum of its proper divisors (87872832).

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

43036128 is a wasteful number, since it uses less digits than its factorization.

43036128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 43036128 is about 6560.1926800971. The cubic root of 43036128 is about 350.4378954449.

The spelling of 43036128 in words is "forty-three million, thirty-six thousand, one hundred twenty-eight".