728016182880 has 768 divisors, whose sum is σ = 2731180032000. Its totient is φ = 162908928000.

The previous prime is 728016182851. The next prime is 728016182921. The reversal of 728016182880 is 88281610827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2900462755 + ... + 2900463005.

It is an arithmetic number, because the mean of its divisors is an integer number (3556224000).

Almost surely, 2^728016182880 is an apocalyptic number.

728016182880 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 728016182880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365590016000).

728016182880 is an abundant number, since it is smaller than the sum of its proper divisors (2003163849120).

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

728016182880 is a wasteful number, since it uses less digits than its factorization.

728016182880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 51.

The spelling of 728016182880 in words is "seven hundred twenty-eight billion, sixteen million, one hundred eighty-two thousand, eight hundred eighty".