2887628688 has 240 divisors, whose sum is σ = 9564137856. Its totient is φ = 796170240.

The previous prime is 2887628659. The next prime is 2887628693. The reversal of 2887628688 is 8868267882.

2887628688 is a `hidden beast` number, since 288 + 76 + 286 + 8 + 8 = 666.

2887628688 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4421770 + ... + 4422422.

Almost surely, 2^2887628688 is an apocalyptic number.

2887628688 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 2887628688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782068928).

2887628688 is an abundant number, since it is smaller than the sum of its proper divisors (6676509168).

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

2887628688 is a wasteful number, since it uses less digits than its factorization.

2887628688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 813 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 63.

The square root of 2887628688 is about 53736.6605586912. The cubic root of 2887628688 is about 1424.0124378201.

The spelling of 2887628688 in words is "two billion, eight hundred eighty-seven million, six hundred twenty-eight thousand, six hundred eighty-eight".