2887928000 has 112 divisors (see below), whose sum is σ = 7176540384. Its totient is φ = 1151206400.

The previous prime is 2887927997. The next prime is 2887928003. The reversal of 2887928000 is 8297882.

It is an interprime number because it is at equal distance from previous prime (2887927997) and next prime (2887928003).

It is not an unprimeable number, because it can be changed into a prime (2887928003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3735614 + ... + 3736386.

Almost surely, 2^2887928000 is an apocalyptic number.

2887928000 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 2887928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588270192).

2887928000 is an abundant number, since it is smaller than the sum of its proper divisors (4288612384).

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

2887928000 is an equidigital number, since it uses as much as digits as its factorization.

2887928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The square root of 2887928000 is about 53739.4454753675. The cubic root of 2887928000 is about 1424.0616372765.

The spelling of 2887928000 in words is "two billion, eight hundred eighty-seven million, nine hundred twenty-eight thousand".