2928000000000 has 560 divisors, whose sum is σ = 9919393515504. Its totient is φ = 768000000000.

The previous prime is 2927999999999. The next prime is 2928000000001. The reversal of 2928000000000 is 8292.

It is an interprime number because it is at equal distance from previous prime (2927999999999) and next prime (2928000000001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928000000001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47999999970 + ... + 48000000030.

Almost surely, 2^{2928000000000} is an apocalyptic number.

2928000000000 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 2928000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959696757752).

2928000000000 is an abundant number, since it is smaller than the sum of its proper divisors (6991393515504).

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

2928000000000 is an frugal number, since it uses more digits than its factorization.

2928000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 71 counting only the distinct ones).

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

Adding to 2928000000000 its reverse (8292), we get a palindrome (2928000008292).

The spelling of 2928000000000 in words is "two trillion, nine hundred twenty-eight billion", and thus it is an aban number.