5528138200 has 192 divisors, whose sum is σ = 14758117920. Its totient is φ = 1907712000.

The previous prime is 5528138197. The next prime is 5528138219. The reversal of 5528138200 is 28318255.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7999855 + ... + 8000545.

Almost surely, 2^5528138200 is an apocalyptic number.

5528138200 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 5528138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379058960).

5528138200 is an abundant number, since it is smaller than the sum of its proper divisors (9229979720).

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

5528138200 is a wasteful number, since it uses less digits than its factorization.

5528138200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 5528138200 is about 74351.4505574706. The cubic root of 5528138200 is about 1768.1792804623.

It can be divided in two parts, 5528 and 138200, that multiplied together give a square (763969600 = 27640²).

The spelling of 5528138200 in words is "five billion, five hundred twenty-eight million, one hundred thirty-eight thousand, two hundred".