728687798496 has 432 divisors, whose sum is σ = 2504289820032. Its totient is φ = 196772405760.

The previous prime is 728687798479. The next prime is 728687798513. The reversal of 728687798496 is 694897786827.

It is an interprime number because it is at equal distance from previous prime (728687798479) and next prime (728687798513).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83302795 + ... + 83311541.

It is an arithmetic number, because the mean of its divisors is an integer number (5796967176).

Almost surely, 2^728687798496 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 728687798496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252144910016).

728687798496 is an abundant number, since it is smaller than the sum of its proper divisors (1775602021536).

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

728687798496 is a wasteful number, since it uses less digits than its factorization.

728687798496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8875 (or 8833 counting only the distinct ones).

The product of its digits is 4096770048, while the sum is 81.

The spelling of 728687798496 in words is "seven hundred twenty-eight billion, six hundred eighty-seven million, seven hundred ninety-eight thousand, four hundred ninety-six".