333361728 has 168 divisors, whose sum is σ = 1130076480. Its totient is φ = 91929600.

The previous prime is 333361709. The next prime is 333361729. The reversal of 333361728 is 827163333.

It is a happy number.

333361728 is a `hidden beast` number, since 3 + 3 + 33 + 617 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×333361728² = 222260083390291968, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 333361692 and 333361701.

It is not an unprimeable number, because it can be changed into a prime (333361729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115503 + ... + 118353.

Almost surely, 2^333361728 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 333361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565038240).

333361728 is an abundant number, since it is smaller than the sum of its proper divisors (796714752).

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

333361728 is a wasteful number, since it uses less digits than its factorization.

333361728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2892 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 333361728 is about 18258.1961869184. The cubic root of 333361728 is about 693.3809615539.

The spelling of 333361728 in words is "three hundred thirty-three million, three hundred sixty-one thousand, seven hundred twenty-eight".