5328480000 has 360 divisors, whose sum is σ = 18792397008. Its totient is φ = 1335296000.

The previous prime is 5328479993. The next prime is 5328480041. The reversal of 5328480000 is 848235.

It is a super-2 number, since 2×5328480000² = 56785398220800000000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5328480000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8159674 + ... + 8160326.

Almost surely, 2^5328480000 is an apocalyptic number.

5328480000 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 5328480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9396198504).

5328480000 is an abundant number, since it is smaller than the sum of its proper divisors (13463917008).

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

5328480000 is an equidigital number, since it uses as much as digits as its factorization.

5328480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 5328480000 is about 72996.4382692745. The cubic root of 5328480000 is about 1746.6307964845.

The spelling of 5328480000 in words is "five billion, three hundred twenty-eight million, four hundred eighty thousand".