852401728 has 56 divisors (see below), whose sum is σ = 1754944928. Its totient is φ = 410489856.

The previous prime is 852401717. The next prime is 852401749. The reversal of 852401728 is 827104258.

It is a super-3 number, since 3×852401728³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198775 + ... + 203017.

Almost surely, 2^852401728 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 852401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877472464).

852401728 is an abundant number, since it is smaller than the sum of its proper divisors (902543200).

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

852401728 is a wasteful number, since it uses less digits than its factorization.

852401728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 852401728 is about 29195.9197149191. The cubic root of 852401728 is about 948.1595866808.

It can be divided in two parts, 85240 and 1728, that added together give a palindrome (86968).

The spelling of 852401728 in words is "eight hundred fifty-two million, four hundred one thousand, seven hundred twenty-eight".