5729433600 has 288 divisors, whose sum is σ = 20668677120. Its totient is φ = 1388544000.

The previous prime is 5729433587. The next prime is 5729433617. The reversal of 5729433600 is 63349275.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1687905 + ... + 1691295.

It is an arithmetic number, because the mean of its divisors is an integer number (71766240).

Almost surely, 2^5729433600 is an apocalyptic number.

5729433600 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 5729433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10334338560).

5729433600 is an abundant number, since it is smaller than the sum of its proper divisors (14939243520).

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

5729433600 is a wasteful number, since it uses less digits than its factorization.

5729433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 5729433600 is about 75693.0221354650. The cubic root of 5729433600 is about 1789.3854303346.

The spelling of 5729433600 in words is "five billion, seven hundred twenty-nine million, four hundred thirty-three thousand, six hundred".