1027733382 has 48 divisors (see below), whose sum is σ = 2421383328. Its totient is φ = 313148160.

The previous prime is 1027733341. The next prime is 1027733387. The reversal of 1027733382 is 2833377201.

1027733382 is a `hidden beast` number, since 1 + 0 + 277 + 3 + 3 + 382 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027733387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2782 + ... + 45422.

It is an arithmetic number, because the mean of its divisors is an integer number (50445486).

Almost surely, 2^1027733382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027733382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210691664).

1027733382 is an abundant number, since it is smaller than the sum of its proper divisors (1393649946).

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

1027733382 is a wasteful number, since it uses less digits than its factorization.

1027733382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42765 (or 42762 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1027733382 is about 32058.2810206661. The cubic root of 1027733382 is about 1009.1602934738.

The spelling of 1027733382 in words is "one billion, twenty-seven million, seven hundred thirty-three thousand, three hundred eighty-two".