728222976 has 216 divisors, whose sum is σ = 2320213896. Its totient is φ = 218234880.

The previous prime is 728222947. The next prime is 728222981. The reversal of 728222976 is 679222827.

It can be written as a sum of positive squares in 4 ways, for example, as 518400 + 727704576 = 720^2 + 26976^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1227736 + ... + 1228328.

It is an arithmetic number, because the mean of its divisors is an integer number (10741731).

Almost surely, 2^728222976 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 728222976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160106948).

728222976 is an abundant number, since it is smaller than the sum of its proper divisors (1591990920).

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

728222976 is a wasteful number, since it uses less digits than its factorization.

728222976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 652 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 728222976 is about 26985.6068303086. The cubic root of 728222976 is about 899.6801233604.

The spelling of 728222976 in words is "seven hundred twenty-eight million, two hundred twenty-two thousand, nine hundred seventy-six".