352028089900 has 144 divisors (see below), whose sum is σ = 834455091456. Its totient is φ = 128363028480.

The previous prime is 352028089871. The next prime is 352028089901. The reversal of 352028089900 is 9980820253.

It is not an unprimeable number, because it can be changed into a prime (352028089901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14014152 + ... + 14039248.

It is an arithmetic number, because the mean of its divisors is an integer number (5794827024).

Almost surely, 2^352028089900 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 352028089900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417227545728).

352028089900 is an abundant number, since it is smaller than the sum of its proper divisors (482427001556).

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

352028089900 is a wasteful number, since it uses less digits than its factorization.

352028089900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25388 (or 25381 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 352028089900 in words is "three hundred fifty-two billion, twenty-eight million, eighty-nine thousand, nine hundred".