43838928 has 240 divisors, whose sum is σ = 155496000. Its totient is φ = 11757312.

The previous prime is 43838911. The next prime is 43838941. The reversal of 43838928 is 82983834.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402138 + ... + 402246.

It is an arithmetic number, because the mean of its divisors is an integer number (647900).

Almost surely, 2^43838928 is an apocalyptic number.

43838928 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 43838928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77748000).

43838928 is an abundant number, since it is smaller than the sum of its proper divisors (111657072).

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

43838928 is a wasteful number, since it uses less digits than its factorization.

43838928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 43838928 is about 6621.0971900434. The cubic root of 43838928 is about 352.6035187139.

The spelling of 43838928 in words is "forty-three million, eight hundred thirty-eight thousand, nine hundred twenty-eight".