5324928000 has 528 divisors, whose sum is σ = 20677385664. Its totient is φ = 1212825600.

The previous prime is 5324927981. The next prime is 5324928019. The reversal of 5324928000 is 8294235.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5324927981) and next prime (5324928019).

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, 18815859 + ... + 18816141.

Almost surely, 2^5324928000 is an apocalyptic number.

5324928000 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 5324928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10338692832).

5324928000 is an abundant number, since it is smaller than the sum of its proper divisors (15352457664).

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

5324928000 is a wasteful number, since it uses less digits than its factorization.

5324928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 5324928000 is about 72972.1042590934. The cubic root of 5324928000 is about 1746.2426050021.

The spelling of 5324928000 in words is "five billion, three hundred twenty-four million, nine hundred twenty-eight thousand".