5528938800 has 480 divisors, whose sum is σ = 22517844480. Its totient is φ = 1126195200.

The previous prime is 5528938799. The next prime is 5528938817. The reversal of 5528938800 is 88398255.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5528938800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4896636 + ... + 4897764.

It is an arithmetic number, because the mean of its divisors is an integer number (46912176).

Almost surely, 2^5528938800 is an apocalyptic number.

5528938800 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 5528938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11258922240).

5528938800 is an abundant number, since it is smaller than the sum of its proper divisors (16988905680).

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

5528938800 is a wasteful number, since it uses less digits than its factorization.

5528938800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The square root of 5528938800 is about 74356.8342521385. The cubic root of 5528938800 is about 1768.2646338519.

The spelling of 5528938800 in words is "five billion, five hundred twenty-eight million, nine hundred thirty-eight thousand, eight hundred".