728086464 has 168 divisors, whose sum is σ = 2396459520. Its totient is φ = 207032832.

The previous prime is 728086453. The next prime is 728086519. The reversal of 728086464 is 464680827.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1447237 + ... + 1447739.

It is an arithmetic number, because the mean of its divisors is an integer number (14264640).

Almost surely, 2^728086464 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 728086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198229760).

728086464 is an abundant number, since it is smaller than the sum of its proper divisors (1668373056).

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

728086464 is a wasteful number, since it uses less digits than its factorization.

728086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 728086464 is about 26983.0773634143. The cubic root of 728086464 is about 899.6239021149.

The spelling of 728086464 in words is "seven hundred twenty-eight million, eighty-six thousand, four hundred sixty-four".