728649012 has 288 divisors, whose sum is σ = 2332713600. Its totient is φ = 174763008.

The previous prime is 728649001. The next prime is 728649013. The reversal of 728649012 is 210946827.

It is a super-2 number, since 2×728649012² = 1061858765377152288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728649013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4211758 + ... + 4211930.

It is an arithmetic number, because the mean of its divisors is an integer number (8099700).

Almost surely, 2^728649012 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 728649012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166356800).

728649012 is an abundant number, since it is smaller than the sum of its proper divisors (1604064588).

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

728649012 is a wasteful number, since it uses less digits than its factorization.

728649012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 728649012 is about 26993.4994396799. The cubic root of 728649012 is about 899.8555373068.

The spelling of 728649012 in words is "seven hundred twenty-eight million, six hundred forty-nine thousand, twelve".