728703360 has 768 divisors, whose sum is σ = 3299512320. Its totient is φ = 143769600.

The previous prime is 728703341. The next prime is 728703379. The reversal of 728703360 is 63307827.

It is an interprime number because it is at equal distance from previous prime (728703341) and next prime (728703379).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13749094 + ... + 13749146.

It is an arithmetic number, because the mean of its divisors is an integer number (4296240).

Almost surely, 2^728703360 is an apocalyptic number.

728703360 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 728703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649756160).

728703360 is an abundant number, since it is smaller than the sum of its proper divisors (2570808960).

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

728703360 is a wasteful number, since it uses less digits than its factorization.

728703360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 728703360 is about 26994.5061077250. The cubic root of 728703360 is about 899.8779093643.

The spelling of 728703360 in words is "seven hundred twenty-eight million, seven hundred three thousand, three hundred sixty".