728257764 has 192 divisors, whose sum is σ = 2074464000. Its totient is φ = 196411392.

The previous prime is 728257753. The next prime is 728257799. The reversal of 728257764 is 467752827.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4887562 + ... + 4887710.

It is an arithmetic number, because the mean of its divisors is an integer number (10804500).

Almost surely, 2^728257764 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 728257764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037232000).

728257764 is an abundant number, since it is smaller than the sum of its proper divisors (1346206236).

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

728257764 is a wasteful number, since it uses less digits than its factorization.

728257764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 48.

The square root of 728257764 is about 26986.2513884385. The cubic root of 728257764 is about 899.6944493635.

The spelling of 728257764 in words is "seven hundred twenty-eight million, two hundred fifty-seven thousand, seven hundred sixty-four".