335728128 has 80 divisors (see below), whose sum is σ = 925364880. Its totient is φ = 108036096.

The previous prime is 335728123. The next prime is 335728147. The reversal of 335728128 is 821827533.

335728128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×335728128² = 225426751860768768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335728123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40776 + ... + 48312.

It is an arithmetic number, because the mean of its divisors is an integer number (11567061).

Almost surely, 2^335728128 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 335728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462682440).

335728128 is an abundant number, since it is smaller than the sum of its proper divisors (589636752).

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

335728128 is an equidigital number, since it uses as much as digits as its factorization.

335728128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7587 (or 7571 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 335728128 is about 18322.8853623003. The cubic root of 335728128 is about 695.0177715725.

The spelling of 335728128 in words is "three hundred thirty-five million, seven hundred twenty-eight thousand, one hundred twenty-eight".