353428272 has 200 divisors, whose sum is σ = 1113896960. Its totient is φ = 107775360.

The previous prime is 353428261. The next prime is 353428277. The reversal of 353428272 is 272824353.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (353428277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 763113 + ... + 763575.

Almost surely, 2^353428272 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 353428272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556948480).

353428272 is an abundant number, since it is smaller than the sum of its proper divisors (760468688).

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

353428272 is a wasteful number, since it uses less digits than its factorization.

353428272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 518 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 353428272 is about 18799.6880825188. The cubic root of 353428272 is about 707.0233589495.

The spelling of 353428272 in words is "three hundred fifty-three million, four hundred twenty-eight thousand, two hundred seventy-two".