5328820224 has 480 divisors, whose sum is σ = 19645385760. Its totient is φ = 1401421824.

The previous prime is 5328820223. The next prime is 5328820229. The reversal of 5328820224 is 4220288235.

5328820224 is a `hidden beast` number, since 532 + 88 + 20 + 2 + 24 = 666.

It is a super-2 number, since 2×5328820224² = 56792649959422820352, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5328820223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15095632 + ... + 15095984.

It is an arithmetic number, because the mean of its divisors is an integer number (40927887).

Almost surely, 2^5328820224 is an apocalyptic number.

5328820224 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 5328820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9822692880).

5328820224 is an abundant number, since it is smaller than the sum of its proper divisors (14316565536).

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

5328820224 is a wasteful number, since it uses less digits than its factorization.

5328820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5328820224 is about 72998.7686471491. The cubic root of 5328820224 is about 1746.6679698791.

The spelling of 5328820224 in words is "five billion, three hundred twenty-eight million, eight hundred twenty thousand, two hundred twenty-four".