2826730368 has 288 divisors, whose sum is σ = 10221709680. Its totient is φ = 733962240.

The previous prime is 2826730367. The next prime is 2826730373. The reversal of 2826730368 is 8630376282.

2826730368 is a `hidden beast` number, since 28 + 267 + 3 + 0 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2826730367) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 974296 + ... + 977192.

Almost surely, 2^2826730368 is an apocalyptic number.

2826730368 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 2826730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110854840).

2826730368 is an abundant number, since it is smaller than the sum of its proper divisors (7394979312).

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

2826730368 is a wasteful number, since it uses less digits than its factorization.

2826730368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2826730368 is about 53167.0045046738. The cubic root of 2826730368 is about 1413.9307130146.

The spelling of 2826730368 in words is "two billion, eight hundred twenty-six million, seven hundred thirty thousand, three hundred sixty-eight".