5829020800 has 96 divisors (see below), whose sum is σ = 14597341380. Its totient is φ = 2299576320.

The previous prime is 5829020779. The next prime is 5829020807. The reversal of 5829020800 is 80209285.

It can be written as a sum of positive squares in 6 ways, for example, as 2967198784 + 2861822016 = 54472^2 + 53496^2 .

It is not an unprimeable number, because it can be changed into a prime (5829020807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221124 + ... + 246076.

Almost surely, 2^5829020800 is an apocalyptic number.

5829020800 is a gapful number since it is divisible by the number (50) 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 5829020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298670690).

5829020800 is an abundant number, since it is smaller than the sum of its proper divisors (8768320580).

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

5829020800 is a wasteful number, since it uses less digits than its factorization.

5829020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25050 (or 25033 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 5829020800 is about 76348.0242049524. The cubic root of 5829020800 is about 1799.6934457367.

The spelling of 5829020800 in words is "five billion, eight hundred twenty-nine million, twenty thousand, eight hundred".