335328 has 48 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 95616.

The previous prime is 335323. The next prime is 335341. The reversal of 335328 is 823533.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×335328² = 224889735168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 335298 and 335307.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 335328.

It is not an unprimeable number, because it can be changed into a prime (335323) 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, 423 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2³³⁵³²⁸ 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 335328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504000).

335328 is an abundant number, since it is smaller than the sum of its proper divisors (672672).

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

335328 is a wasteful number, since it uses less digits than its factorization.

335328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 335328 is about 579.0751246600. The cubic root of 335328 is about 69.4741549434.

The spelling of 335328 in words is "three hundred thirty-five thousand, three hundred twenty-eight".