728877648 has 80 divisors (see below), whose sum is σ = 1953357120. Its totient is φ = 233920512.

The previous prime is 728877647. The next prime is 728877671. The reversal of 728877648 is 846778827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728877647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 825015 + ... + 825897.

It is an arithmetic number, because the mean of its divisors is an integer number (24416964).

Almost surely, 2^728877648 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 728877648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976678560).

728877648 is an abundant number, since it is smaller than the sum of its proper divisors (1224479472).

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

728877648 is a wasteful number, since it uses less digits than its factorization.

728877648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1510 counting only the distinct ones).

The product of its digits is 8429568, while the sum is 57.

The square root of 728877648 is about 26997.7341271448. The cubic root of 728877648 is about 899.9496465656.

The spelling of 728877648 in words is "seven hundred twenty-eight million, eight hundred seventy-seven thousand, six hundred forty-eight".