5827372200 has 768 divisors, whose sum is σ = 24185952000. Its totient is φ = 1274019840.

The previous prime is 5827372163. The next prime is 5827372211. The reversal of 5827372200 is 22737285.

It is a happy number.

5827372200 is a `hidden beast` number, since 5 + 82 + 7 + 372 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22674472 + ... + 22674728.

It is an arithmetic number, because the mean of its divisors is an integer number (31492125).

Almost surely, 2^5827372200 is an apocalyptic number.

5827372200 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 5827372200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12092976000).

5827372200 is an abundant number, since it is smaller than the sum of its proper divisors (18358579800).

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

5827372200 is a wasteful number, since it uses less digits than its factorization.

5827372200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5827372200 is about 76337.2268293786. The cubic root of 5827372200 is about 1799.5237628990.

The spelling of 5827372200 in words is "five billion, eight hundred twenty-seven million, three hundred seventy-two thousand, two hundred".