333641728 has 144 divisors (see below), whose sum is σ = 829679760. Its totient is φ = 130940928.

The previous prime is 333641699. The next prime is 333641753. The reversal of 333641728 is 827146333.

It is a super-2 number, since 2×333641728² = 222633605325651968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

Its product of digits (72576) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9017326 + ... + 9017362.

It is an arithmetic number, because the mean of its divisors is an integer number (5761665).

Almost surely, 2^333641728 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 333641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414839880).

333641728 is an abundant number, since it is smaller than the sum of its proper divisors (496038032).

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

333641728 is an equidigital number, since it uses as much as digits as its factorization.

333641728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 63 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 333641728 is about 18265.8623667212. The cubic root of 333641728 is about 693.5750373599.

The spelling of 333641728 in words is "three hundred thirty-three million, six hundred forty-one thousand, seven hundred twenty-eight".