5288900 has 18 divisors (see below), whose sum is σ = 11477130. Its totient is φ = 2115520.

The previous prime is 5288893. The next prime is 5288909. The reversal of 5288900 is 98825.

5288900 = T₁₈₇ + T₁₈₈ + ... + T₃₃₆.

It can be written as a sum of positive squares in 3 ways, for example, as 614656 + 4674244 = 784^2 + 2162^2 .

It is not an unprimeable number, because it can be changed into a prime (5288909) 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, 26345 + ... + 26544.

Almost surely, 2^5288900 is an apocalyptic number.

5288900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5288900 is an abundant number, since it is smaller than the sum of its proper divisors (6188230).

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

5288900 is a wasteful number, since it uses less digits than its factorization.

5288900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52903 (or 52896 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 5288900 is about 2299.7608571328. The cubic root of 5288900 is about 174.2295380820.

The spelling of 5288900 in words is "five million, two hundred eighty-eight thousand, nine hundred".