352657728 has 168 divisors, whose sum is σ = 1052611560. Its totient is φ = 112803840.

The previous prime is 352657717. The next prime is 352657729. The reversal of 352657728 is 827756253.

352657728 is a `hidden beast` number, since 3 + 52 + 6 + 577 + 28 = 666.

352657728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22581504 + 330076224 = 4752^2 + 18168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352657729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2574076 + ... + 2574212.

It is an arithmetic number, because the mean of its divisors is an integer number (6265545).

Almost surely, 2^352657728 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 352657728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526305780).

352657728 is an abundant number, since it is smaller than the sum of its proper divisors (699953832).

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

352657728 is a wasteful number, since it uses less digits than its factorization.

352657728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 352657728 is about 18779.1833688262. The cubic root of 352657728 is about 706.5091678587.

The spelling of 352657728 in words is "three hundred fifty-two million, six hundred fifty-seven thousand, seven hundred twenty-eight".