5338200 has 192 divisors, whose sum is σ = 19998720. Its totient is φ = 1152000.

The previous prime is 5338199. The next prime is 5338211. The reversal of 5338200 is 28335.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130180 + ... + 130220.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

Almost surely, 2^5338200 is an apocalyptic number.

5338200 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 5338200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

5338200 is an abundant number, since it is smaller than the sum of its proper divisors (14660520).

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

5338200 is a wasteful number, since it uses less digits than its factorization.

5338200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5338200 is about 2310.4545007422. The cubic root of 5338200 is about 174.7692196028.

The spelling of 5338200 in words is "five million, three hundred thirty-eight thousand, two hundred".