1027893132 has 48 divisors (see below), whose sum is σ = 3045611520. Its totient is φ = 293683536.

The previous prime is 1027893121. The next prime is 1027893137. The reversal of 1027893132 is 2313987201.

1027893132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1027893137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679068 + ... + 680579.

It is an arithmetic number, because the mean of its divisors is an integer number (63450240).

Almost surely, 2^1027893132 is an apocalyptic number.

1027893132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1027893132 is an abundant number, since it is smaller than the sum of its proper divisors (2017718388).

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

1027893132 is a wasteful number, since it uses less digits than its factorization.

1027893132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359667 (or 1359659 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1027893132 is about 32060.7724797766. The cubic root of 1027893132 is about 1009.2125784365.

The spelling of 1027893132 in words is "one billion, twenty-seven million, eight hundred ninety-three thousand, one hundred thirty-two".