2852978688 has 204 divisors, whose sum is σ = 9432917728. Its totient is φ = 813957120.

The previous prime is 2852978633. The next prime is 2852978693. The reversal of 2852978688 is 8868792582.

2852978688 is a `hidden beast` number, since 28 + 529 + 7 + 8 + 6 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4128423 + ... + 4129113.

Almost surely, 2^2852978688 is an apocalyptic number.

2852978688 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 2852978688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716458864).

2852978688 is an abundant number, since it is smaller than the sum of its proper divisors (6579939040).

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

2852978688 is an frugal number, since it uses more digits than its factorization.

2852978688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 703 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The square root of 2852978688 is about 53413.2819437263. The cubic root of 2852978688 is about 1418.2937066465.

The spelling of 2852978688 in words is "two billion, eight hundred fifty-two million, nine hundred seventy-eight thousand, six hundred eighty-eight".