728547063552 has 1008 divisors, whose sum is σ = 2747396977920. Its totient is φ = 188781373440.

The previous prime is 728547063551. The next prime is 728547063613. The reversal of 728547063552 is 255360745827.

728547063552 is a `hidden beast` number, since 7 + 2 + 85 + 4 + 7 + 0 + 6 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728547063551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1738775599 + ... + 1738776017.

It is an arithmetic number, because the mean of its divisors is an integer number (2725592240).

Almost surely, 2^728547063552 is an apocalyptic number.

728547063552 is a gapful number since it is divisible by the number (72) 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 728547063552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373698488960).

728547063552 is an abundant number, since it is smaller than the sum of its proper divisors (2018849914368).

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

728547063552 is an frugal number, since it uses more digits than its factorization.

728547063552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 728547063552 in words is "seven hundred twenty-eight billion, five hundred forty-seven million, sixty-three thousand, five hundred fifty-two".