5828268600 has 768 divisors, whose sum is σ = 25455513600. Its totient is φ = 1190592000.

The previous prime is 5828268577. The next prime is 5828268623. The reversal of 5828268600 is 68628285.

5828268600 is a `hidden beast` number, since 582 + 8 + 2 + 6 + 8 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5828268577) and next prime (5828268623).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 44490535 + ... + 44490665.

It is an arithmetic number, because the mean of its divisors is an integer number (33145200).

Almost surely, 2^5828268600 is an apocalyptic number.

5828268600 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 5828268600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12727756800).

5828268600 is an abundant number, since it is smaller than the sum of its proper divisors (19627245000).

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

5828268600 is a wasteful number, since it uses less digits than its factorization.

5828268600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5828268600 is about 76343.0979198513. The cubic root of 5828268600 is about 1799.6160292094.

The spelling of 5828268600 in words is "five billion, eight hundred twenty-eight million, two hundred sixty-eight thousand, six hundred".