1009133928 has 96 divisors (see below), whose sum is σ = 3138501600. Its totient is φ = 289699200.

The previous prime is 1009133927. The next prime is 1009133929. The reversal of 1009133928 is 8293319001.

It is an interprime number because it is at equal distance from previous prime (1009133927) and next prime (1009133929).

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 = 1009133892 and 1009133901.

It is not an unprimeable number, because it can be changed into a prime (1009133921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18483 + ... + 48578.

It is an arithmetic number, because the mean of its divisors is an integer number (32692725).

Almost surely, 2^1009133928 is an apocalyptic number.

1009133928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1009133928 is an abundant number, since it is smaller than the sum of its proper divisors (2129367672).

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

1009133928 is a wasteful number, since it uses less digits than its factorization.

1009133928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67103 (or 67096 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1009133928 is about 31766.8684008984. The cubic root of 1009133928 is about 1003.0354195721.

The spelling of 1009133928 in words is "one billion, nine million, one hundred thirty-three thousand, nine hundred twenty-eight".