1027649280 has 144 divisors (see below), whose sum is σ = 3751017984. Its totient is φ = 234885120.

The previous prime is 1027649279. The next prime is 1027649317. The reversal of 1027649280 is 829467201.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7765 + ... + 45995.

It is an arithmetic number, because the mean of its divisors is an integer number (26048736).

Almost surely, 2^1027649280 is an apocalyptic number.

1027649280 is a gapful number since it is divisible by the number (10) 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 1027649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875508992).

1027649280 is an abundant number, since it is smaller than the sum of its proper divisors (2723368704).

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

1027649280 is an equidigital number, since it uses as much as digits as its factorization.

1027649280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38262 (or 38248 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1027649280 is about 32056.9692890641. The cubic root of 1027649280 is about 1009.1327653503.

The spelling of 1027649280 in words is "one billion, twenty-seven million, six hundred forty-nine thousand, two hundred eighty".