43924728960 has 576 divisors, whose sum is σ = 185750323200. Its totient is φ = 9510359040.

The previous prime is 43924728959. The next prime is 43924728977. The reversal of 43924728960 is 6982742934.

43924728960 is a `hidden beast` number, since 4 + 3 + 92 + 472 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 43924728897 and 43924728906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5358465 + ... + 5366655.

It is an arithmetic number, because the mean of its divisors is an integer number (322483200).

Almost surely, 2^43924728960 is an apocalyptic number.

43924728960 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 43924728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92875161600).

43924728960 is an abundant number, since it is smaller than the sum of its proper divisors (141825594240).

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

43924728960 is a wasteful number, since it uses less digits than its factorization.

43924728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 43924728960 in words is "forty-three billion, nine hundred twenty-four million, seven hundred twenty-eight thousand, nine hundred sixty".