1005928 has 64 divisors (see below), whose sum is σ = 2488320. Its totient is φ = 369600.

The previous prime is 1005913. The next prime is 1005931. The reversal of 1005928 is 8295001.

It is a super-2 number, since 2×1005928² = 2023782282368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14133 + ... + 14203.

It is an arithmetic number, because the mean of its divisors is an integer number (38880).

2^1005928 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 1005928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244160).

1005928 is an abundant number, since it is smaller than the sum of its proper divisors (1482392).

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

1005928 is a wasteful number, since it uses less digits than its factorization.

1005928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 1005928 is about 1002.9596203238. The cubic root of 1005928 is about 100.1972108232.

The spelling of 1005928 in words is "one million, five thousand, nine hundred twenty-eight".