2863828968 has 192 divisors, whose sum is σ = 9686570880. Its totient is φ = 686568960.

The previous prime is 2863828963. The next prime is 2863828973. The reversal of 2863828968 is 8698283682.

It is an interprime number because it is at equal distance from previous prime (2863828963) and next prime (2863828973).

It is not an unprimeable number, because it can be changed into a prime (2863828963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258846 + ... + 269682.

It is an arithmetic number, because the mean of its divisors is an integer number (50450890).

Almost surely, 2^2863828968 is an apocalyptic number.

2863828968 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 2863828968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843285440).

2863828968 is an abundant number, since it is smaller than the sum of its proper divisors (6822741912).

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

2863828968 is a wasteful number, since it uses less digits than its factorization.

2863828968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10888 (or 10873 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 60.

The square root of 2863828968 is about 53514.7546756967. The cubic root of 2863828968 is about 1420.0894223922.

The spelling of 2863828968 in words is "two billion, eight hundred sixty-three million, eight hundred twenty-eight thousand, nine hundred sixty-eight".