2797633728 has 196 divisors, whose sum is σ = 8468581488. Its totient is φ = 916323840.

The previous prime is 2797633723. The next prime is 2797633733. The reversal of 2797633728 is 8273367972.

It is an interprime number because it is at equal distance from previous prime (2797633723) and next prime (2797633733).

It is a super-3 number, since 3×2797633728³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2797633721) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2845525 + ... + 2846507.

Almost surely, 2^2797633728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2797633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234290744).

2797633728 is an abundant number, since it is smaller than the sum of its proper divisors (5670947760).

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

2797633728 is an frugal number, since it uses more digits than its factorization.

2797633728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1049 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 2797633728 is about 52892.6623266404. The cubic root of 2797633728 is about 1409.0625910454.

The spelling of 2797633728 in words is "two billion, seven hundred ninety-seven million, six hundred thirty-three thousand, seven hundred twenty-eight".