728928958212 has 432 divisors, whose sum is σ = 2331883073520. Its totient is φ = 190291175424.

The previous prime is 728928958159. The next prime is 728928958213. The reversal of 728928958212 is 212859829827.

728928958212 is a `hidden beast` number, since 7 + 28 + 9 + 28 + 9 + 582 + 1 + 2 = 666.

728928958212 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 354041856 + 728574916356 = 18816^2 + 853566^2 .

It is a super-2 number, since 2×728928958212² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 728928958212.

It is not an unprimeable number, because it can be changed into a prime (728928958213) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1432080214 + ... + 1432080722.

It is an arithmetic number, because the mean of its divisors is an integer number (5397877485).

Almost surely, 2^728928958212 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 728928958212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165941536760).

728928958212 is an abundant number, since it is smaller than the sum of its proper divisors (1602954115308).

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

728928958212 is a wasteful number, since it uses less digits than its factorization.

728928958212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1048 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 728928958212 in words is "seven hundred twenty-eight billion, nine hundred twenty-eight million, nine hundred fifty-eight thousand, two hundred twelve".