5088200 has 96 divisors (see below), whose sum is σ = 13540800. Its totient is φ = 1762560.

The previous prime is 5088199. The next prime is 5088217. The reversal of 5088200 is 28805.

5088200 = T₁₇₉ + T₁₈₀ + ... + T₃₃₀.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49349 + ... + 49451.

It is an arithmetic number, because the mean of its divisors is an integer number (141050).

Almost surely, 2^5088200 is an apocalyptic number.

5088200 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 5088200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6770400).

5088200 is an abundant number, since it is smaller than the sum of its proper divisors (8452600).

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

5088200 is a wasteful number, since it uses less digits than its factorization.

5088200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 5088200 is about 2255.7038812752. The cubic root of 5088200 is about 171.9972056514.

It can be divided in two parts, 50 and 88200, that multiplied together give a square (4410000 = 2100²).

The spelling of 5088200 in words is "five million, eighty-eight thousand, two hundred".