2628263200 has 72 divisors (see below), whose sum is σ = 6565548528. Its totient is φ = 1026842880.

The previous prime is 2628263159. The next prime is 2628263207. The reversal of 2628263200 is 23628262.

It is not an unprimeable number, because it can be changed into a prime (2628263207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3802 + ... + 72601.

It is an arithmetic number, because the mean of its divisors is an integer number (91188174).

Almost surely, 2^2628263200 is an apocalyptic number.

2628263200 is a gapful number since it is divisible by the number (20) 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 2628263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282774264).

2628263200 is an abundant number, since it is smaller than the sum of its proper divisors (3937285328).

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

2628263200 is a wasteful number, since it uses less digits than its factorization.

2628263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76466 (or 76453 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 2628263200 is about 51266.5895101283. The cubic root of 2628263200 is about 1380.0334655470.

The spelling of 2628263200 in words is "two billion, six hundred twenty-eight million, two hundred sixty-three thousand, two hundred".