5829211872 has 384 divisors, whose sum is σ = 19878566400. Its totient is φ = 1642291200.

The previous prime is 5829211867. The next prime is 5829211919. The reversal of 5829211872 is 2781129285.

It is a super-2 number, since 2×5829211872² = 67959422097331488768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17610747 + ... + 17611077.

It is an arithmetic number, because the mean of its divisors is an integer number (51767100).

Almost surely, 2^5829211872 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 5829211872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9939283200).

5829211872 is an abundant number, since it is smaller than the sum of its proper divisors (14049354528).

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

5829211872 is a wasteful number, since it uses less digits than its factorization.

5829211872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 5829211872 is about 76349.2755171914. The cubic root of 5829211872 is about 1799.7131098324.

The spelling of 5829211872 in words is "five billion, eight hundred twenty-nine million, two hundred eleven thousand, eight hundred seventy-two".