2826078288 has 160 divisors (see below), whose sum is σ = 8204474880. Its totient is φ = 830968320.

The previous prime is 2826078257. The next prime is 2826078397. The reversal of 2826078288 is 8828706282.

It is a Smith number, since the sum of its digits (51) 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 2826078288.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2585070 + ... + 2586162.

It is an arithmetic number, because the mean of its divisors is an integer number (51277968).

Almost surely, 2^2826078288 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 2826078288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102237440).

2826078288 is an abundant number, since it is smaller than the sum of its proper divisors (5378396592).

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

2826078288 is a wasteful number, since it uses less digits than its factorization.

2826078288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The square root of 2826078288 is about 53160.8717761475. The cubic root of 2826078288 is about 1413.8219811673.

The spelling of 2826078288 in words is "two billion, eight hundred twenty-six million, seventy-eight thousand, two hundred eighty-eight".