2409827728 has 40 divisors (see below), whose sum is σ = 5821145280. Its totient is φ = 938893440.

The previous prime is 2409827701. The next prime is 2409827729. The reversal of 2409827728 is 8277289042.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2409827729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 976783 + ... + 979246.

It is an arithmetic number, because the mean of its divisors is an integer number (145528632).

Almost surely, 2^2409827728 is an apocalyptic number.

2409827728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2409827728 is an abundant number, since it is smaller than the sum of its proper divisors (3411317552).

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

2409827728 is a wasteful number, since it uses less digits than its factorization.

2409827728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956055 (or 1956049 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The square root of 2409827728 is about 49089.9962110408. The cubic root of 2409827728 is about 1340.6909127277.

The spelling of 2409827728 in words is "two billion, four hundred nine million, eight hundred twenty-seven thousand, seven hundred twenty-eight".