5828709252352 has 432 divisors, whose sum is σ = 14294737481472. Its totient is φ = 2362470727680.

The previous prime is 5828709252349. The next prime is 5828709252437. The reversal of 5828709252352 is 2532529078285.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2405574213 + ... + 2405576635.

It is an arithmetic number, because the mean of its divisors is an integer number (33089670096).

Almost surely, 2^{5828709252352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5828709252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7147368740736).

5828709252352 is an abundant number, since it is smaller than the sum of its proper divisors (8466028229120).

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

5828709252352 is a wasteful number, since it uses less digits than its factorization.

5828709252352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 58.

The spelling of 5828709252352 in words is "five trillion, eight hundred twenty-eight billion, seven hundred nine million, two hundred fifty-two thousand, three hundred fifty-two".