5328952400 has 30 divisors (see below), whose sum is σ = 12802809102. Its totient is φ = 2131580800.

The previous prime is 5328952367. The next prime is 5328952403. The reversal of 5328952400 is 42598235.

It can be written as a sum of positive squares in 3 ways, for example, as 1058591296 + 4270361104 = 32536^2 + 65348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5328952403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6660791 + ... + 6661590.

Almost surely, 2^5328952400 is an apocalyptic number.

5328952400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5328952400 is an abundant number, since it is smaller than the sum of its proper divisors (7473856702).

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

5328952400 is a wasteful number, since it uses less digits than its factorization.

5328952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13322399 (or 13322388 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 5328952400 is about 72999.6739718747. The cubic root of 5328952400 is about 1746.6824112042.

The spelling of 5328952400 in words is "five billion, three hundred twenty-eight million, nine hundred fifty-two thousand, four hundred".