2827838098048 has 256 divisors, whose sum is σ = 6178907105280. Its totient is φ = 1285963776000.

The previous prime is 2827838098031. The next prime is 2827838098069. The reversal of 2827838098048 is 8408908387282.

It is a super-2 number, since 2×2827838098048² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620001688 + ... + 620006248.

It is an arithmetic number, because the mean of its divisors is an integer number (24136355880).

Almost surely, 2^{2827838098048} 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 2827838098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089453552640).

2827838098048 is an abundant number, since it is smaller than the sum of its proper divisors (3351069007232).

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

2827838098048 is a wasteful number, since it uses less digits than its factorization.

2827838098048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 67.

The spelling of 2827838098048 in words is "two trillion, eight hundred twenty-seven billion, eight hundred thirty-eight million, ninety-eight thousand, forty-eight".