4028729344 has 48 divisors (see below), whose sum is σ = 8094537360. Its totient is φ = 2004602880.

The previous prime is 4028729293. The next prime is 4028729347. The reversal of 4028729344 is 4439278204.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4028729344.

It is not an unprimeable number, because it can be changed into a prime (4028729347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 427467 + ... + 436789.

It is an arithmetic number, because the mean of its divisors is an integer number (168636195).

Almost surely, 2^4028729344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4028729344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047268680).

4028729344 is an abundant number, since it is smaller than the sum of its proper divisors (4065808016).

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

4028729344 is an equidigital number, since it uses as much as digits as its factorization.

4028729344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9556 (or 9536 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 4028729344 is about 63472.2722454459. The cubic root of 4028729344 is about 1591.1924053865.

The spelling of 4028729344 in words is "four billion, twenty-eight million, seven hundred twenty-nine thousand, three hundred forty-four".