352728414 has 48 divisors (see below), whose sum is σ = 802518912. Its totient is φ = 111752784.

The previous prime is 352728361. The next prime is 352728419. The reversal of 352728414 is 414827253.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352728419) 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, 64869 + ... + 70095.

It is an arithmetic number, because the mean of its divisors is an integer number (16719144).

Almost surely, 2^352728414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352728414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401259456).

352728414 is an abundant number, since it is smaller than the sum of its proper divisors (449790498).

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

352728414 is a wasteful number, since it uses less digits than its factorization.

352728414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5418 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 352728414 is about 18781.0653052483. The cubic root of 352728414 is about 706.5563684603.

The spelling of 352728414 in words is "three hundred fifty-two million, seven hundred twenty-eight thousand, four hundred fourteen".