333406728 has 48 divisors (see below), whose sum is σ = 907693020. Its totient is φ = 110555136.

The previous prime is 333406709. The next prime is 333406753. The reversal of 333406728 is 827604333.

It can be written as a sum of positive squares in 2 ways, for example, as 255296484 + 78110244 = 15978^2 + 8838^2 .

It is a super-2 number, since 2×333406728² = 222320092551331968, 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 = 333406692 and 333406701.

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, 1900 + ... + 25892.

Almost surely, 2^333406728 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 333406728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453846510).

333406728 is an abundant number, since it is smaller than the sum of its proper divisors (574286292).

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

333406728 is a wasteful number, since it uses less digits than its factorization.

333406728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24198 (or 24191 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 333406728 is about 18259.4284686022. The cubic root of 333406728 is about 693.4121596357.

The spelling of 333406728 in words is "three hundred thirty-three million, four hundred six thousand, seven hundred twenty-eight".