728335641 has 64 divisors (see below), whose sum is σ = 1196384256. Its totient is φ = 388608000.

The previous prime is 728335613. The next prime is 728335649. The reversal of 728335641 is 146533827.

It is not a de Polignac number, because 728335641 - 2⁹ = 728335129 is a prime.

It is a super-3 number, since 3×728335641³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 728335641.

It is not an unprimeable number, because it can be changed into a prime (728335649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 605841 + ... + 607041.

It is an arithmetic number, because the mean of its divisors is an integer number (18693504).

Almost surely, 2^728335641 is an apocalyptic number.

It is an amenable number.

728335641 is a deficient number, since it is larger than the sum of its proper divisors (468048615).

728335641 is a wasteful number, since it uses less digits than its factorization.

728335641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302.

The product of its digits is 120960, while the sum is 39.

The square root of 728335641 is about 26987.6942512694. The cubic root of 728335641 is about 899.7265181404.

It can be divided in two parts, 7283 and 35641, that added together give a palindrome (42924).

The spelling of 728335641 in words is "seven hundred twenty-eight million, three hundred thirty-five thousand, six hundred forty-one".