5328129024 has 176 divisors, whose sum is σ = 15941053440. Its totient is φ = 1757859840.

The previous prime is 5328128969. The next prime is 5328129029. The reversal of 5328129024 is 4209218235.

It is a happy number.

5328129024 is a `hidden beast` number, since 532 + 8 + 12 + 90 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5328129024.

It is not an unprimeable number, because it can be changed into a prime (5328129029) by changing a digit.

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, 2846809 + ... + 2848679.

Almost surely, 2^5328129024 is an apocalyptic number.

5328129024 is a gapful number since it is divisible by the number (54) 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 5328129024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7970526720).

5328129024 is an abundant number, since it is smaller than the sum of its proper divisors (10612924416).

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

5328129024 is a wasteful number, since it uses less digits than its factorization.

5328129024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5328129024 is about 72994.0341671838. The cubic root of 5328129024 is about 1746.5924466517.

The spelling of 5328129024 in words is "five billion, three hundred twenty-eight million, one hundred twenty-nine thousand, twenty-four".