728744290560 has 576 divisors, whose sum is σ = 3038153852160. Its totient is φ = 163074539520.

The previous prime is 728744290531. The next prime is 728744290613. The reversal of 728744290560 is 65092447827.

728744290560 is a `hidden beast` number, since 7 + 2 + 8 + 74 + 4 + 2 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×728744290560² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 728744290497 and 728744290506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4868352 + ... + 5015808.

It is an arithmetic number, because the mean of its divisors is an integer number (5274572660).

Almost surely, 2^728744290560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728744290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519076926080).

728744290560 is an abundant number, since it is smaller than the sum of its proper divisors (2309409561600).

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

728744290560 is a wasteful number, since it uses less digits than its factorization.

728744290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147511 (or 147491 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 728744290560 in words is "seven hundred twenty-eight billion, seven hundred forty-four million, two hundred ninety thousand, five hundred sixty".