728730502080 has 224 divisors, whose sum is σ = 2668965935616. Its totient is φ = 165010108416.

The previous prime is 728730502043. The next prime is 728730502117. The reversal of 728730502080 is 80205037827.

It is an interprime number because it is at equal distance from previous prime (728730502043) and next prime (728730502117).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212302 + ... + 1225778.

Almost surely, 2^728730502080 is an apocalyptic number.

728730502080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728730502080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334482967808).

728730502080 is an abundant number, since it is smaller than the sum of its proper divisors (1940235433536).

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

728730502080 is a wasteful number, since it uses less digits than its factorization.

728730502080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013611 (or 1013601 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 728730502080 in words is "seven hundred twenty-eight billion, seven hundred thirty million, five hundred two thousand, eighty".