353149728 has 192 divisors, whose sum is σ = 1024192512. Its totient is φ = 106219520.

The previous prime is 353149717. The next prime is 353149739. The reversal of 353149728 is 827941353.

It is an interprime number because it is at equal distance from previous prime (353149717) and next prime (353149739).

It is a self number, because there is not a number n which added to its sum of digits gives 353149728.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4254775 + ... + 4254857.

It is an arithmetic number, because the mean of its divisors is an integer number (5334336).

Almost surely, 2^353149728 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 353149728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512096256).

353149728 is an abundant number, since it is smaller than the sum of its proper divisors (671042784).

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

353149728 is a wasteful number, since it uses less digits than its factorization.

353149728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 353149728 is about 18792.2784142849. The cubic root of 353149728 is about 706.8375703096.

The spelling of 353149728 in words is "three hundred fifty-three million, one hundred forty-nine thousand, seven hundred twenty-eight".