1027528146 has 64 divisors (see below), whose sum is σ = 2317472640. Its totient is φ = 337435200.

The previous prime is 1027528141. The next prime is 1027528157. The reversal of 1027528146 is 6418257201.

It is a self number, because there is not a number n which added to its sum of digits gives 1027528146.

It is not an unprimeable number, because it can be changed into a prime (1027528141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1597701 + ... + 1598343.

It is an arithmetic number, because the mean of its divisors is an integer number (36210510).

Almost surely, 2^1027528146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027528146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158736320).

1027528146 is an abundant number, since it is smaller than the sum of its proper divisors (1289944494).

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

1027528146 is a wasteful number, since it uses less digits than its factorization.

1027528146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1042 counting only the distinct ones).

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

The square root of 1027528146 is about 32055.0798782346. The cubic root of 1027528146 is about 1009.0931133360.

The spelling of 1027528146 in words is "one billion, twenty-seven million, five hundred twenty-eight thousand, one hundred forty-six".