5828506437600 has 1728 divisors, whose sum is σ = 27224274534912. Its totient is φ = 1181454336000.

The previous prime is 5828506437583. The next prime is 5828506437617. The reversal of 5828506437600 is 67346058285.

5828506437600 is a `hidden beast` number, since 5 + 8 + 28 + 5 + 0 + 6 + 4 + 3 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5828506437583) and next prime (5828506437617).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 613716052 + ... + 613725548.

It is an arithmetic number, because the mean of its divisors is an integer number (15754788504).

Almost surely, 2^{5828506437600} is an apocalyptic number.

5828506437600 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 5828506437600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13612137267456).

5828506437600 is an abundant number, since it is smaller than the sum of its proper divisors (21395768097312).

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

5828506437600 is a wasteful number, since it uses less digits than its factorization.

5828506437600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9591 (or 9566 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 5828506437600 in words is "five trillion, eight hundred twenty-eight billion, five hundred six million, four hundred thirty-seven thousand, six hundred".