5729138100 has 504 divisors, whose sum is σ = 21706805120. Its totient is φ = 1284906240.

The previous prime is 5729138099. The next prime is 5729138131. The reversal of 5729138100 is 18319275.

5729138100 is a `hidden beast` number, since 572 + 9 + 1 + 3 + 81 + 0 + 0 = 666.

It is a super-2 number, since 2×5729138100² = 65646046737743220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 52560846 + ... + 52560954.

Almost surely, 2^5729138100 is an apocalyptic number.

5729138100 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 5729138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10853402560).

5729138100 is an abundant number, since it is smaller than the sum of its proper divisors (15977667020).

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

5729138100 is a wasteful number, since it uses less digits than its factorization.

5729138100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5729138100 is about 75691.0701470127. The cubic root of 5729138100 is about 1789.3546668233.

The spelling of 5729138100 in words is "five billion, seven hundred twenty-nine million, one hundred thirty-eight thousand, one hundred".