2628878616 has 432 divisors, whose sum is σ = 9426231360. Its totient is φ = 655361280.

The previous prime is 2628878591. The next prime is 2628878617. The reversal of 2628878616 is 6168788262.

2628878616 is a `hidden beast` number, since 2 + 628 + 8 + 7 + 8 + 6 + 1 + 6 = 666.

It is a super-2 number, since 2×2628878616² = 13822005555324150912, which contains 22 as substring.

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 (2628878617) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 61136691 + ... + 61136733.

It is an arithmetic number, because the mean of its divisors is an integer number (21819980).

Almost surely, 2^2628878616 is an apocalyptic number.

2628878616 is a gapful number since it is divisible by the number (26) 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 2628878616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713115680).

2628878616 is an abundant number, since it is smaller than the sum of its proper divisors (6797352744).

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

2628878616 is a wasteful number, since it uses less digits than its factorization.

2628878616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 99 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 2628878616 is about 51272.5912744811. The cubic root of 2628878616 is about 1380.1411701833.

The spelling of 2628878616 in words is "two billion, six hundred twenty-eight million, eight hundred seventy-eight thousand, six hundred sixteen".