2826369728 has 112 divisors (see below), whose sum is σ = 6991380480. Its totient is φ = 1103791104.

The previous prime is 2826369713. The next prime is 2826369773. The reversal of 2826369728 is 8279636282.

2826369728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (53) 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 2826369728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457025 + ... + 463167.

It is an arithmetic number, because the mean of its divisors is an integer number (62423040).

Almost surely, 2^2826369728 is an apocalyptic number.

2826369728 is a gapful number since it is divisible by the number (28) 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 2826369728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495690240).

2826369728 is an abundant number, since it is smaller than the sum of its proper divisors (4165010752).

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

2826369728 is a wasteful number, since it uses less digits than its factorization.

2826369728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254 (or 6244 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 53.

The square root of 2826369728 is about 53163.6128192959. The cubic root of 2826369728 is about 1413.8705797401.

The spelling of 2826369728 in words is "two billion, eight hundred twenty-six million, three hundred sixty-nine thousand, seven hundred twenty-eight".