1335028224 has 320 divisors, whose sum is σ = 4083488640. Its totient is φ = 385351680.

The previous prime is 1335028187. The next prime is 1335028259. The reversal of 1335028224 is 4228205331.

It is a junction number, because it is equal to n+sod(n) for n = 1335028191 and 1335028200.

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, 31047147 + ... + 31047189.

It is an arithmetic number, because the mean of its divisors is an integer number (12760902).

Almost surely, 2^1335028224 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 1335028224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041744320).

1335028224 is an abundant number, since it is smaller than the sum of its proper divisors (2748460416).

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

1335028224 is a wasteful number, since it uses less digits than its factorization.

1335028224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1335028224 is about 36538.0380425660. The cubic root of 1335028224 is about 1101.1085859670.

The spelling of 1335028224 in words is "one billion, three hundred thirty-five million, twenty-eight thousand, two hundred twenty-four".