728423055360 has 2880 divisors, whose sum is σ = 3614708643840. Its totient is φ = 136744796160.

The previous prime is 728423055341. The next prime is 728423055361. The reversal of 728423055360 is 63550324827.

728423055360 is a `hidden beast` number, since 7 + 2 + 8 + 4 + 2 + 30 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (728423055361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15498362857 + ... + 15498362903.

It is an arithmetic number, because the mean of its divisors is an integer number (1255107168).

Almost surely, 2^728423055360 is an apocalyptic number.

728423055360 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 728423055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807354321920).

728423055360 is an abundant number, since it is smaller than the sum of its proper divisors (2886285588480).

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

728423055360 is a wasteful number, since it uses less digits than its factorization.

728423055360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 728423055360 in words is "seven hundred twenty-eight billion, four hundred twenty-three million, fifty-five thousand, three hundred sixty".