728036760000 has 280 divisors, whose sum is σ = 2625887746944. Its totient is φ = 176493440000.

The previous prime is 728036759999. The next prime is 728036760001. The reversal of 728036760000 is 67630827.

It is an interprime number because it is at equal distance from previous prime (728036759999) and next prime (728036760001).

It is a super-2 number, since 2×728036760000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728036760001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1044229 + ... + 1595771.

Almost surely, 2^728036760000 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 728036760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312943873472).

728036760000 is an abundant number, since it is smaller than the sum of its proper divisors (1897850986944).

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

728036760000 is a wasteful number, since it uses less digits than its factorization.

728036760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551589 (or 551564 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 728036760000 in words is "seven hundred twenty-eight billion, thirty-six million, seven hundred sixty thousand".