43128000 has 168 divisors, whose sum is σ = 154533600. Its totient is φ = 11481600.

The previous prime is 43127993. The next prime is 43128047. The reversal of 43128000 is 82134.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71701 + ... + 72299.

Almost surely, 2^43128000 is an apocalyptic number.

43128000 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 43128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77266800).

43128000 is an abundant number, since it is smaller than the sum of its proper divisors (111405600).

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

43128000 is a wasteful number, since it uses less digits than its factorization.

43128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 43128000 is about 6567.1911804058. The cubic root of 43128000 is about 350.6870856723.

The spelling of 43128000 in words is "forty-three million, one hundred twenty-eight thousand".