353116829928 has 128 divisors (see below), whose sum is σ = 952803331200. Its totient is φ = 108689817600.

The previous prime is 353116829921. The next prime is 353116829929. The reversal of 353116829928 is 829928611353.

It is a happy number.

353116829928 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (353116829921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21548298 + ... + 21564678.

It is an arithmetic number, because the mean of its divisors is an integer number (7443776025).

Almost surely, 2^353116829928 is an apocalyptic number.

353116829928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353116829928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476401665600).

353116829928 is an abundant number, since it is smaller than the sum of its proper divisors (599686501272).

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

353116829928 is a wasteful number, since it uses less digits than its factorization.

353116829928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17603 (or 17599 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 57.

The spelling of 353116829928 in words is "three hundred fifty-three billion, one hundred sixteen million, eight hundred twenty-nine thousand, nine hundred twenty-eight".