601230728 has 64 divisors (see below), whose sum is σ = 1321608960. Its totient is φ = 251087616.

The previous prime is 601230713. The next prime is 601230733. The reversal of 601230728 is 827032106.

It is a happy number.

It is a super-3 number, since 3×601230728³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 601230728.

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, 495050 + ... + 496262.

It is an arithmetic number, because the mean of its divisors is an integer number (20650140).

Almost surely, 2^601230728 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 601230728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660804480).

601230728 is an abundant number, since it is smaller than the sum of its proper divisors (720378232).

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

601230728 is a wasteful number, since it uses less digits than its factorization.

601230728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 601230728 is about 24520.0066884167. The cubic root of 601230728 is about 844.0089582242.

The spelling of 601230728 in words is "six hundred one million, two hundred thirty thousand, seven hundred twenty-eight".