4129129728 has 216 divisors, whose sum is σ = 12879554688. Its totient is φ = 1267286016.

The previous prime is 4129129687. The next prime is 4129129729. The reversal of 4129129728 is 8279219214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129129729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1839775 + ... + 1842017.

It is an arithmetic number, because the mean of its divisors is an integer number (59627568).

Almost surely, 2^4129129728 is an apocalyptic number.

4129129728 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 4129129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439777344).

4129129728 is an abundant number, since it is smaller than the sum of its proper divisors (8750424960).

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

4129129728 is a wasteful number, since it uses less digits than its factorization.

4129129728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2312 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 4129129728 is about 64258.3047395432. The cubic root of 4129129728 is about 1604.3021882834.

The spelling of 4129129728 in words is "four billion, one hundred twenty-nine million, one hundred twenty-nine thousand, seven hundred twenty-eight".