5528952000 has 896 divisors, whose sum is σ = 23964595200. Its totient is φ = 1230336000.

The previous prime is 5528951983. The next prime is 5528952029. The reversal of 5528952000 is 2598255.

5528952000 is a `hidden beast` number, since 5 + 52 + 89 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 15.

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 127 ways as a sum of consecutive naturals, for example, 30887911 + ... + 30888089.

It is an arithmetic number, because the mean of its divisors is an integer number (26746200).

Almost surely, 2^5528952000 is an apocalyptic number.

5528952000 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 5528952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11982297600).

5528952000 is an abundant number, since it is smaller than the sum of its proper divisors (18435643200).

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

5528952000 is a wasteful number, since it uses less digits than its factorization.

5528952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 5528952000 is about 74356.9230132608. The cubic root of 5528952000 is about 1768.2660410583.

The spelling of 5528952000 in words is "five billion, five hundred twenty-eight million, nine hundred fifty-two thousand".