552728448000 has 880 divisors, whose sum is σ = 2086515288000. Its totient is φ = 145494835200.

The previous prime is 552728447987. The next prime is 552728448071. The reversal of 552728448000 is 844827255.

552728448000 is a `hidden beast` number, since 5 + 527 + 2 + 8 + 44 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 922751701 + ... + 922752299.

It is an arithmetic number, because the mean of its divisors is an integer number (2371040100).

Almost surely, 2^552728448000 is an apocalyptic number.

552728448000 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 552728448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043257644000).

552728448000 is an abundant number, since it is smaller than the sum of its proper divisors (1533786840000).

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

552728448000 is an equidigital number, since it uses as much as digits as its factorization.

552728448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 552728448000 in words is "five hundred fifty-two billion, seven hundred twenty-eight million, four hundred forty-eight thousand".