728375040 has 216 divisors, whose sum is σ = 2630628000. Its totient is φ = 185720832.

The previous prime is 728375029. The next prime is 728375059. The reversal of 728375040 is 40573827.

728375040 is a `hidden beast` number, since 72 + 83 + 7 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 728374986 and 728375004.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 263586 + ... + 266334.

Almost surely, 2^728375040 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 728375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315314000).

728375040 is an abundant number, since it is smaller than the sum of its proper divisors (1902252960).

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

728375040 is a wasteful number, since it uses less digits than its factorization.

728375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 728375040 is about 26988.4241851947. The cubic root of 728375040 is about 899.7427412862.

It can be divided in two parts, 72837 and 5040, that added together give a palindrome (77877).

The spelling of 728375040 in words is "seven hundred twenty-eight million, three hundred seventy-five thousand, forty".