5328754200 has 288 divisors, whose sum is σ = 22312143360. Its totient is φ = 1107244800.

The previous prime is 5328754183. The next prime is 5328754217. The reversal of 5328754200 is 24578235.

5328754200 is a `hidden beast` number, since 5 + 32 + 87 + 542 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5328754183) and next prime (5328754217).

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

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 71 ways as a sum of consecutive naturals, for example, 119377 + ... + 157823.

It is an arithmetic number, because the mean of its divisors is an integer number (77472720).

Almost surely, 2^5328754200 is an apocalyptic number.

5328754200 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 5328754200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11156071680).

5328754200 is an abundant number, since it is smaller than the sum of its proper divisors (16983389160).

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

5328754200 is a wasteful number, since it uses less digits than its factorization.

5328754200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38487 (or 38475 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5328754200 is about 72998.3164189422. The cubic root of 5328754200 is about 1746.6607561196.

It can be divided in two parts, 5328 and 754200, that added together give a triangular number (759528 = T₁₂₃₂).

The spelling of 5328754200 in words is "five billion, three hundred twenty-eight million, seven hundred fifty-four thousand, two hundred".