728455244832 has 288 divisors, whose sum is σ = 2542949136000. Its totient is φ = 197175347712.

The previous prime is 728455244801. The next prime is 728455244863. The reversal of 728455244832 is 238442554827.

728455244832 is a `hidden beast` number, since 7 + 2 + 8 + 4 + 552 + 4 + 4 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (728455244801) and next prime (728455244863).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1682838 + ... + 2070954.

It is an arithmetic number, because the mean of its divisors is an integer number (8829684500).

Almost surely, 2^728455244832 is an apocalyptic number.

728455244832 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 728455244832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271474568000).

728455244832 is an abundant number, since it is smaller than the sum of its proper divisors (1814493891168).

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

728455244832 is a wasteful number, since it uses less digits than its factorization.

728455244832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388173 (or 388148 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 54.

The spelling of 728455244832 in words is "seven hundred twenty-eight billion, four hundred fifty-five million, two hundred forty-four thousand, eight hundred thirty-two".