1027289952 has 240 divisors, whose sum is σ = 3333995280. Its totient is φ = 308302848.

The previous prime is 1027289927. The next prime is 1027289981. The reversal of 1027289952 is 2599827201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1027289898 and 1027289907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1448574 + ... + 1449282.

It is an arithmetic number, because the mean of its divisors is an integer number (13891647).

Almost surely, 2^1027289952 is an apocalyptic number.

1027289952 is a gapful number since it is divisible by the number (12) 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 1027289952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666997640).

1027289952 is an abundant number, since it is smaller than the sum of its proper divisors (2306705328).

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

1027289952 is a wasteful number, since it uses less digits than its factorization.

1027289952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1027289952 is about 32051.3642767356. The cubic root of 1027289952 is about 1009.0151338013.

The spelling of 1027289952 in words is "one billion, twenty-seven million, two hundred eighty-nine thousand, nine hundred fifty-two".