5852928000 has 192 divisors, whose sum is σ = 19476344160. Its totient is φ = 1560576000.

The previous prime is 5852927953. The next prime is 5852928031. The reversal of 5852928000 is 8292585.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 5852928000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764190 + ... + 771810.

Almost surely, 2^5852928000 is an apocalyptic number.

5852928000 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 5852928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9738172080).

5852928000 is an abundant number, since it is smaller than the sum of its proper divisors (13623416160).

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

5852928000 is an equidigital number, since it uses as much as digits as its factorization.

5852928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 5852928000 is about 76504.4312442096. The cubic root of 5852928000 is about 1802.1505161079.

The spelling of 5852928000 in words is "five billion, eight hundred fifty-two million, nine hundred twenty-eight thousand".