1027283040 has 576 divisors, whose sum is σ = 4385041920. Its totient is φ = 223534080.

The previous prime is 1027283027. The next prime is 1027283069. The reversal of 1027283040 is 403827201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1027282995 and 1027283013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4868535 + ... + 4868745.

It is an arithmetic number, because the mean of its divisors is an integer number (7612920).

Almost surely, 2^1027283040 is an apocalyptic number.

1027283040 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 1027283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192520960).

1027283040 is an abundant number, since it is smaller than the sum of its proper divisors (3357758880).

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

1027283040 is a wasteful number, since it uses less digits than its factorization.

1027283040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1027283040 is about 32051.2564496308. The cubic root of 1027283040 is about 1009.0128707829.

The spelling of 1027283040 in words is "one billion, twenty-seven million, two hundred eighty-three thousand, forty".