728677824 has 168 divisors, whose sum is σ = 2275594128. Its totient is φ = 205148160.

The previous prime is 728677819. The next prime is 728677837. The reversal of 728677824 is 428776827.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686254 + ... + 687314.

Almost surely, 2^728677824 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 728677824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137797064).

728677824 is an abundant number, since it is smaller than the sum of its proper divisors (1546916304).

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

728677824 is a wasteful number, since it uses less digits than its factorization.

728677824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1146 counting only the distinct ones).

The product of its digits is 2107392, while the sum is 51.

The square root of 728677824 is about 26994.0331184505. The cubic root of 728677824 is about 899.8673977478.

The spelling of 728677824 in words is "seven hundred twenty-eight million, six hundred seventy-seven thousand, eight hundred twenty-four".