728878640 has 80 divisors (see below), whose sum is σ = 1954666560. Its totient is φ = 247587840.

The previous prime is 728878637. The next prime is 728878673. The reversal of 728878640 is 46878827.

728878640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55070 + ... + 67010.

It is an arithmetic number, because the mean of its divisors is an integer number (24433332).

Almost surely, 2^728878640 is an apocalyptic number.

728878640 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 728878640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977333280).

728878640 is an abundant number, since it is smaller than the sum of its proper divisors (1225787920).

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

728878640 is a wasteful number, since it uses less digits than its factorization.

728878640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12070 (or 12064 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 50.

The square root of 728878640 is about 26997.7524990507. The cubic root of 728878640 is about 899.9500548415.

The spelling of 728878640 in words is "seven hundred twenty-eight million, eight hundred seventy-eight thousand, six hundred forty".