5328615536928 has 288 divisors, whose sum is σ = 16384609463040. Its totient is φ = 1637180190720.

The previous prime is 5328615536917. The next prime is 5328615536939. The reversal of 5328615536928 is 8296355168235.

It is a happy number.

5328615536928 is a `hidden beast` number, since 5 + 3 + 2 + 8 + 6 + 1 + 5 + 536 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5328615536917) and next prime (5328615536939).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 82304826 + ... + 82369542.

It is an arithmetic number, because the mean of its divisors is an integer number (56891005080).

Almost surely, 2^{5328615536928} 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 5328615536928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8192304731520).

5328615536928 is an abundant number, since it is smaller than the sum of its proper divisors (11055993926112).

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

5328615536928 is a wasteful number, since it uses less digits than its factorization.

5328615536928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65160 (or 65149 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 5328615536928 in words is "five trillion, three hundred twenty-eight billion, six hundred fifteen million, five hundred thirty-six thousand, nine hundred twenty-eight".