2628803968 has 192 divisors, whose sum is σ = 6417480960. Its totient is φ = 1049932800.

The previous prime is 2628803963. The next prime is 2628803981. The reversal of 2628803968 is 8693088262.

It is a happy number.

It is a super-2 number, since 2×2628803968² = 13821220604345090048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628803963) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 37025373 + ... + 37025443.

It is an arithmetic number, because the mean of its divisors is an integer number (33424380).

Almost surely, 2^2628803968 is an apocalyptic number.

2628803968 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 2628803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208740480).

2628803968 is an abundant number, since it is smaller than the sum of its proper divisors (3788676992).

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

2628803968 is an equidigital number, since it uses as much as digits as its factorization.

2628803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The square root of 2628803968 is about 51271.8633170280. The cubic root of 2628803968 is about 1380.1281068499.

The spelling of 2628803968 in words is "two billion, six hundred twenty-eight million, eight hundred three thousand, nine hundred sixty-eight".