2827813337328 has 240 divisors, whose sum is σ = 9163303511040. Its totient is φ = 746753817600.

The previous prime is 2827813337303. The next prime is 2827813337339. The reversal of 2827813337328 is 8237333187282.

2827813337328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2827813337328² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060513 + ... + 2603903.

It is an arithmetic number, because the mean of its divisors is an integer number (38180431296).

Almost surely, 2^{2827813337328} is an apocalyptic number.

2827813337328 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 2827813337328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4581651755520).

2827813337328 is an abundant number, since it is smaller than the sum of its proper divisors (6335490173712).

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

2827813337328 is a wasteful number, since it uses less digits than its factorization.

2827813337328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543476 (or 1543463 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The spelling of 2827813337328 in words is "two trillion, eight hundred twenty-seven billion, eight hundred thirteen million, three hundred thirty-seven thousand, three hundred twenty-eight".