5318528400 has 90 divisors (see below), whose sum is σ = 18456783410. Its totient is φ = 1418273280.

The previous prime is 5318528357. The next prime is 5318528417. The reversal of 5318528400 is 48258135.

It is a happy number.

5318528400 is a `hidden beast` number, since 53 + 185 + 28 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 592240896 + 4726287504 = 24336^2 + 68748^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 735085 + ... + 742284.

Almost surely, 2^5318528400 is an apocalyptic number.

5318528400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5318528400 is an abundant number, since it is smaller than the sum of its proper divisors (13138255010).

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

5318528400 is a wasteful number, since it uses less digits than its factorization.

5318528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477393 (or 1477379 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5318528400 is about 72928.2414432159. The cubic root of 5318528400 is about 1745.5427686823.

The spelling of 5318528400 in words is "five billion, three hundred eighteen million, five hundred twenty-eight thousand, four hundred".