2928000000 has 308 divisors, whose sum is σ = 9915029336. Its totient is φ = 768000000.

The previous prime is 2927999983. The next prime is 2928000037. The reversal of 2928000000 is 8292.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 47999970 + ... + 48000030.

Almost surely, 2^2928000000 is an apocalyptic number.

2928000000 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 2928000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957514668).

2928000000 is an abundant number, since it is smaller than the sum of its proper divisors (6987029336).

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

2928000000 is an frugal number, since it uses more digits than its factorization.

2928000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2928000000 is about 54110.9970338747. The cubic root of 2928000000 is about 1430.6180190081.

Adding to 2928000000 its reverse (8292), we get a palindrome (2928008292).

The spelling of 2928000000 in words is "two billion, nine hundred twenty-eight million", and thus it is an aban number.