728160733755000 has 3840 divisors, whose sum is σ = 3307270234752000. Its totient is φ = 144897113088000.

The previous prime is 728160733754977. The next prime is 728160733755001. The reversal of 728160733755000 is 557337061827.

It is a happy number.

728160733755000 is a `hidden beast` number, since 7 + 2 + 8 + 1 + 60 + 7 + 3 + 3 + 75 + 500 + 0 = 666.

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 (728160733755001) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 961903214622 + ... + 961903215378.

It is an arithmetic number, because the mean of its divisors is an integer number (861268290300).

Almost surely, 2^{728160733755000} is an apocalyptic number.

728160733755000 is a gapful number since it is divisible by the number (70) 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 728160733755000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653635117376000).

728160733755000 is an abundant number, since it is smaller than the sum of its proper divisors (2579109500997000).

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

728160733755000 is a wasteful number, since it uses less digits than its factorization.

728160733755000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 728160733755000 in words is "seven hundred twenty-eight trillion, one hundred sixty billion, seven hundred thirty-three million, seven hundred fifty-five thousand".