1005287328 has 96 divisors (see below), whose sum is σ = 2951161920. Its totient is φ = 332916480.

The previous prime is 1005287287. The next prime is 1005287347. The reversal of 1005287328 is 8237825001.

1005287328 is a `hidden beast` number, since 100 + 528 + 7 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1005287328³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 1005287292 and 1005287301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131943 + ... + 139353.

It is an arithmetic number, because the mean of its divisors is an integer number (30741270).

Almost surely, 2^1005287328 is an apocalyptic number.

1005287328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005287328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475580960).

1005287328 is an abundant number, since it is smaller than the sum of its proper divisors (1945874592).

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

1005287328 is a wasteful number, since it uses less digits than its factorization.

1005287328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7587 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1005287328 is about 31706.2663837923. The cubic root of 1005287328 is about 1001.7593455547.

The spelling of 1005287328 in words is "one billion, five million, two hundred eighty-seven thousand, three hundred twenty-eight".