5829271272 has 320 divisors, whose sum is σ = 18441561600. Its totient is φ = 1705311360.

The previous prime is 5829271211. The next prime is 5829271289. The reversal of 5829271272 is 2721729285.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34905733 + ... + 34905899.

It is an arithmetic number, because the mean of its divisors is an integer number (57629880).

Almost surely, 2^5829271272 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 5829271272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220780800).

5829271272 is an abundant number, since it is smaller than the sum of its proper divisors (12612290328).

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

5829271272 is a wasteful number, since it uses less digits than its factorization.

5829271272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 325 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 5829271272 is about 76349.6645179270. The cubic root of 5829271272 is about 1799.7192228713.

The spelling of 5829271272 in words is "five billion, eight hundred twenty-nine million, two hundred seventy-one thousand, two hundred seventy-two".