2628188352 has 168 divisors, whose sum is σ = 7679131200. Its totient is φ = 859299840.

The previous prime is 2628188341. The next prime is 2628188363. The reversal of 2628188352 is 2538818262.

2628188352 is a `hidden beast` number, since 2 + 628 + 18 + 8 + 3 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2628188341) and next prime (2628188363).

It is a junction number, because it is equal to n+sod(n) for n = 2628188298 and 2628188307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9697977 + ... + 9698247.

Almost surely, 2^2628188352 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 2628188352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839565600).

2628188352 is an abundant number, since it is smaller than the sum of its proper divisors (5050942848).

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

2628188352 is a wasteful number, since it uses less digits than its factorization.

2628188352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 538 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 2628188352 is about 51265.8595168363. The cubic root of 2628188352 is about 1380.0203651689.

The spelling of 2628188352 in words is "two billion, six hundred twenty-eight million, one hundred eighty-eight thousand, three hundred fifty-two".