5105828700 has 216 divisors, whose sum is σ = 18372157440. Its totient is φ = 1161820800.

The previous prime is 5105828683. The next prime is 5105828731. The reversal of 5105828700 is 78285015.

5105828700 is a `hidden beast` number, since 5 + 1 + 0 + 582 + 8 + 70 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1504005 + ... + 1507395.

Almost surely, 2^5105828700 is an apocalyptic number.

5105828700 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 5105828700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186078720).

5105828700 is an abundant number, since it is smaller than the sum of its proper divisors (13266328740).

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

5105828700 is a wasteful number, since it uses less digits than its factorization.

5105828700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 5105828700 is about 71455.0816947262. The cubic root of 5105828700 is about 1721.9561191050.

The spelling of 5105828700 in words is "five billion, one hundred five million, eight hundred twenty-eight thousand, seven hundred".