5188228600 has 72 divisors (see below), whose sum is σ = 12188036880. Its totient is φ = 2053936000.

The previous prime is 5188228583. The next prime is 5188228613. The reversal of 5188228600 is 68228815.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2038929 + ... + 2041471.

It is an arithmetic number, because the mean of its divisors is an integer number (169278290).

Almost surely, 2^5188228600 is an apocalyptic number.

5188228600 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 5188228600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094018440).

5188228600 is an abundant number, since it is smaller than the sum of its proper divisors (6999808280).

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

5188228600 is a wasteful number, since it uses less digits than its factorization.

5188228600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 5188228600 is about 72029.3592918887. The cubic root of 5188228600 is about 1731.1699349124.

The spelling of 5188228600 in words is "five billion, one hundred eighty-eight million, two hundred twenty-eight thousand, six hundred".