352261728 has 144 divisors (see below), whose sum is σ = 1233007776. Its totient is φ = 92897280.

The previous prime is 352261699. The next prime is 352261759. The reversal of 352261728 is 827162253.

352261728 is a `hidden beast` number, since 3 + 522 + 61 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 352261692 and 352261701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19488 + ... + 32928.

It is an arithmetic number, because the mean of its divisors is an integer number (8562554).

Almost surely, 2^352261728 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 352261728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616503888).

352261728 is an abundant number, since it is smaller than the sum of its proper divisors (880746048).

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

352261728 is a wasteful number, since it uses less digits than its factorization.

352261728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13477 (or 13466 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 352261728 is about 18768.6368178406. The cubic root of 352261728 is about 706.2446220072.

The spelling of 352261728 in words is "three hundred fifty-two million, two hundred sixty-one thousand, seven hundred twenty-eight".