5328301440 has 512 divisors, whose sum is σ = 22109552640. Its totient is φ = 1058365440.

The previous prime is 5328301427. The next prime is 5328301453. The reversal of 5328301440 is 441038235.

It is an interprime number because it is at equal distance from previous prime (5328301427) and next prime (5328301453).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5328301398 and 5328301407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3399537 + ... + 3401103.

It is an arithmetic number, because the mean of its divisors is an integer number (43182720).

Almost surely, 2^5328301440 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 5328301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11054776320).

5328301440 is an abundant number, since it is smaller than the sum of its proper divisors (16781251200).

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

5328301440 is a wasteful number, since it uses less digits than its factorization.

5328301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5328301440 is about 72995.2151856545. The cubic root of 5328301440 is about 1746.6112861126.

Adding to 5328301440 its reverse (441038235), we get a palindrome (5769339675).

The spelling of 5328301440 in words is "five billion, three hundred twenty-eight million, three hundred one thousand, four hundred forty".