333235728 has 160 divisors (see below), whose sum is σ = 1099929600. Its totient is φ = 94621824.

The previous prime is 333235711. The next prime is 333235739. The reversal of 333235728 is 827532333.

It is a super-2 number, since 2×333235728² = 222092100831379968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 333235692 and 333235701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 795103 + ... + 795521.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2^333235728 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 333235728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549964800).

333235728 is an abundant number, since it is smaller than the sum of its proper divisors (766693872).

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

333235728 is a wasteful number, since it uses less digits than its factorization.

333235728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 694 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 333235728 is about 18254.7453556603. The cubic root of 333235728 is about 693.2935919857.

It can be divided in two parts, 3332 and 35728, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 333235728 in words is "three hundred thirty-three million, two hundred thirty-five thousand, seven hundred twenty-eight".