728739840 has 208 divisors, whose sum is σ = 2417983200. Its totient is φ = 187170816.

The previous prime is 728739829. The next prime is 728739859. The reversal of 728739840 is 48937827.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 728739840.

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 15 ways as a sum of consecutive naturals, for example, 1781556 + ... + 1781964.

Almost surely, 2^728739840 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 728739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208991600).

728739840 is an abundant number, since it is smaller than the sum of its proper divisors (1689243360).

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

728739840 is a wasteful number, since it uses less digits than its factorization.

728739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 728739840 is about 26995.1817923125. The cubic root of 728739840 is about 899.8929255333.

The spelling of 728739840 in words is "seven hundred twenty-eight million, seven hundred thirty-nine thousand, eight hundred forty".