728186181120 has 640 divisors, whose sum is σ = 2730103833600. Its totient is φ = 183464165376.

The previous prime is 728186181059. The next prime is 728186181127. The reversal of 728186181120 is 21181681827.

728186181120 is a `hidden beast` number, since 7 + 2 + 8 + 1 + 8 + 618 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×728186181120² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728186181127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 849691732 + ... + 849692588.

It is an arithmetic number, because the mean of its divisors is an integer number (4265787240).

Almost surely, 2^728186181120 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 728186181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365051916800).

728186181120 is an abundant number, since it is smaller than the sum of its proper divisors (2001917652480).

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

728186181120 is a wasteful number, since it uses less digits than its factorization.

728186181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 728186181120 in words is "seven hundred twenty-eight billion, one hundred eighty-six million, one hundred eighty-one thousand, one hundred twenty".