728379648 has 72 divisors (see below), whose sum is σ = 2153967200. Its totient is φ = 242790912.

The previous prime is 728379647. The next prime is 728379703. The reversal of 728379648 is 846973827.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 728379594 and 728379603.

It is not an unprimeable number, because it can be changed into a prime (728379647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45778 + ... + 59601.

Almost surely, 2^728379648 is an apocalyptic number.

It is an amenable number.

728379648 is an abundant number, since it is smaller than the sum of its proper divisors (1425587552).

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

728379648 is a wasteful number, since it uses less digits than its factorization.

728379648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105404 (or 105384 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 728379648 is about 26988.5095549940. The cubic root of 728379648 is about 899.7446386631.

The spelling of 728379648 in words is "seven hundred twenty-eight million, three hundred seventy-nine thousand, six hundred forty-eight".