333728340 has 96 divisors (see below), whose sum is σ = 1034740224. Its totient is φ = 79685760.

The previous prime is 333728323. The next prime is 333728357. The reversal of 333728340 is 43827333.

It is an interprime number because it is at equal distance from previous prime (333728323) and next prime (333728357).

It is a super-2 number, since 2×333728340² = 222749209838311200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 40447 + ... + 47993.

It is an arithmetic number, because the mean of its divisors is an integer number (10778544).

Almost surely, 2^333728340 is an apocalyptic number.

333728340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333728340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517370112).

333728340 is an abundant number, since it is smaller than the sum of its proper divisors (701011884).

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

333728340 is a wasteful number, since it uses less digits than its factorization.

333728340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7637 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 333728340 is about 18268.2330836893. The cubic root of 333728340 is about 693.6350485622.

The spelling of 333728340 in words is "three hundred thirty-three million, seven hundred twenty-eight thousand, three hundred forty".