353728000 has 80 divisors (see below), whose sum is σ = 882202464. Its totient is φ = 141465600.

The previous prime is 353727973. The next prime is 353728007. The reversal of 353728000 is 827353.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 353728000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353728007) 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 7 ways as a sum of consecutive naturals, for example, 61237 + ... + 66763.

Almost surely, 2^353728000 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 353728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441101232).

353728000 is an abundant number, since it is smaller than the sum of its proper divisors (528474464).

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

353728000 is an frugal number, since it uses more digits than its factorization.

353728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 353728000 is about 18807.6580147556. The cubic root of 353728000 is about 707.2231682998.

The spelling of 353728000 in words is "three hundred fifty-three million, seven hundred twenty-eight thousand".