5328100 has 18 divisors (see below), whose sum is σ = 11562194. Its totient is φ = 2131200.

The previous prime is 5328079. The next prime is 5328101. The reversal of 5328100 is 18235.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 381924 + 4946176 = 618^2 + 2224^2 .

It is a super-2 number, since 2×5328100² = 56777299220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5328101) 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, 26541 + ... + 26740.

Almost surely, 2^5328100 is an apocalyptic number.

5328100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5328100 is an abundant number, since it is smaller than the sum of its proper divisors (6234094).

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

5328100 is a wasteful number, since it uses less digits than its factorization.

5328100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53295 (or 53288 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 5328100 is about 2308.2677487675. The cubic root of 5328100 is about 174.6589275233.

The spelling of 5328100 in words is "five million, three hundred twenty-eight thousand, one hundred".