1005475328 has 160 divisors (see below), whose sum is σ = 2441843712. Its totient is φ = 407347200.

The previous prime is 1005475313. The next prime is 1005475343. The reversal of 1005475328 is 8235745001.

It is a happy number.

1005475328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1005475313) and next prime (1005475343).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2269475 + ... + 2269917.

Almost surely, 2^1005475328 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 1005475328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220921856).

1005475328 is an abundant number, since it is smaller than the sum of its proper divisors (1436368384).

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

1005475328 is a wasteful number, since it uses less digits than its factorization.

1005475328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 1005475328 is about 31709.2309588233. The cubic root of 1005475328 is about 1001.8217884049.

The spelling of 1005475328 in words is "one billion, five million, four hundred seventy-five thousand, three hundred twenty-eight".