728205907968 has 384 divisors, whose sum is σ = 2689412544000. Its totient is φ = 189143285760.

The previous prime is 728205907963. The next prime is 728205908011. The reversal of 728205907968 is 869709502827.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728205907963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4172278 + ... + 4343306.

It is an arithmetic number, because the mean of its divisors is an integer number (7003678500).

Almost surely, 2^728205907968 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 728205907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344706272000).

728205907968 is an abundant number, since it is smaller than the sum of its proper divisors (1961206636032).

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

728205907968 is a wasteful number, since it uses less digits than its factorization.

728205907968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171078 (or 171052 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 728205907968 in words is "seven hundred twenty-eight billion, two hundred five million, nine hundred seven thousand, nine hundred sixty-eight".