333964728 has 128 divisors (see below), whose sum is σ = 992908800. Its totient is φ = 103638528.

The previous prime is 333964727. The next prime is 333964747. The reversal of 333964728 is 827469333.

It is a super-2 number, since 2×333964728² = 223064879096227968, which contains 22 as substring.

Its product of digits (653184) is a multiple of the sum of its prime divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333964727) 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, 377775 + ... + 378657.

It is an arithmetic number, because the mean of its divisors is an integer number (7757100).

Almost surely, 2^333964728 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 333964728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496454400).

333964728 is an abundant number, since it is smaller than the sum of its proper divisors (658944072).

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

333964728 is a wasteful number, since it uses less digits than its factorization.

333964728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1008 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 333964728 is about 18274.7018580331. The cubic root of 333964728 is about 693.7987828370.

The spelling of 333964728 in words is "three hundred thirty-three million, nine hundred sixty-four thousand, seven hundred twenty-eight".