3333457728 has 84 divisors (see below), whose sum is σ = 9711492388. Its totient is φ = 1092925440.

The previous prime is 3333457723. The next prime is 3333457741. The reversal of 3333457728 is 8277543333.

It can be written as a sum of positive squares in 2 ways, for example, as 1935296064 + 1398161664 = 43992^2 + 37392^2 .

It is a super-2 number, since 2×3333457728² = 22223880848725843968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3333457723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12301 + ... + 82572.

Almost surely, 2^3333457728 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 3333457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855746194).

3333457728 is an abundant number, since it is smaller than the sum of its proper divisors (6378034660).

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

3333457728 is a wasteful number, since it uses less digits than its factorization.

3333457728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94952 (or 94939 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The square root of 3333457728 is about 57736.1041983264. The cubic root of 3333457728 is about 1493.8201640496.

The spelling of 3333457728 in words is "three billion, three hundred thirty-three million, four hundred fifty-seven thousand, seven hundred twenty-eight".