2826931968 has 144 divisors (see below), whose sum is σ = 9554146560. Its totient is φ = 807681024.

The previous prime is 2826931963. The next prime is 2826931969. The reversal of 2826931968 is 8691396282.

2826931968 is a `hidden beast` number, since 2 + 8 + 269 + 319 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2826931963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19171 + ... + 77597.

It is an arithmetic number, because the mean of its divisors is an integer number (66348240).

Almost surely, 2^2826931968 is an apocalyptic number.

2826931968 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 2826931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777073280).

2826931968 is an abundant number, since it is smaller than the sum of its proper divisors (6727214592).

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

2826931968 is an equidigital number, since it uses as much as digits as its factorization.

2826931968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58459 (or 58439 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 2826931968 is about 53168.9003835889. The cubic root of 2826931968 is about 1413.9643256599.

The spelling of 2826931968 in words is "two billion, eight hundred twenty-six million, nine hundred thirty-one thousand, nine hundred sixty-eight".