2792133288 has 192 divisors, whose sum is σ = 9060811200. Its totient is φ = 794344320.

The previous prime is 2792133269. The next prime is 2792133307. The reversal of 2792133288 is 8823312972.

It is an interprime number because it is at equal distance from previous prime (2792133269) and next prime (2792133307).

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, 3502906 + ... + 3503702.

It is an arithmetic number, because the mean of its divisors is an integer number (47191725).

Almost surely, 2^2792133288 is an apocalyptic number.

2792133288 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 2792133288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530405600).

2792133288 is an abundant number, since it is smaller than the sum of its proper divisors (6268677912).

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

2792133288 is a wasteful number, since it uses less digits than its factorization.

2792133288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1140 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 2792133288 is about 52840.6404957396. The cubic root of 2792133288 is about 1408.1385304577.

The spelling of 2792133288 in words is "two billion, seven hundred ninety-two million, one hundred thirty-three thousand, two hundred eighty-eight".