2763920328 has 128 divisors (see below), whose sum is σ = 7568171520. Its totient is φ = 836075520.

The previous prime is 2763920323. The next prime is 2763920359. The reversal of 2763920328 is 8230293672.

It is a Cunningham number, because it is equal to 52573²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 2763920328.

It is not an unprimeable number, because it can be changed into a prime (2763920321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8201376 + ... + 8201712.

It is an arithmetic number, because the mean of its divisors is an integer number (59126340).

Almost surely, 2^2763920328 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 2763920328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784085760).

2763920328 is an abundant number, since it is smaller than the sum of its proper divisors (4804251192).

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

2763920328 is a wasteful number, since it uses less digits than its factorization.

2763920328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2763920328 is about 52572.9999904894. Note that the first 5 decimals coincide. The cubic root of 2763920328 is about 1403.3796457441.

The spelling of 2763920328 in words is "two billion, seven hundred sixty-three million, nine hundred twenty thousand, three hundred twenty-eight".