5389200 has 120 divisors (see below), whose sum is σ = 19220000. Its totient is φ = 1434240.

The previous prime is 5389183. The next prime is 5389213. The reversal of 5389200 is 29835.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10551 + ... + 11049.

Almost surely, 2^5389200 is an apocalyptic number.

5389200 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 5389200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9610000).

5389200 is an abundant number, since it is smaller than the sum of its proper divisors (13830800).

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

5389200 is a wasteful number, since it uses less digits than its factorization.

5389200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5389200 is about 2321.4650546584. The cubic root of 5389200 is about 175.3240255227.

It can be divided in two parts, 53 and 89200, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 5389200 in words is "five million, three hundred eighty-nine thousand, two hundred".