1129282560 has 440 divisors, whose sum is σ = 4636700640. Its totient is φ = 257458176.

The previous prime is 1129282549. The next prime is 1129282571. The reversal of 1129282560 is 652829211.

1129282560 is a `hidden beast` number, since 1 + 1 + 2 + 92 + 8 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1129282549) and next prime (1129282571).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902846 + ... + 2903234.

It is an arithmetic number, because the mean of its divisors is an integer number (10537956).

Almost surely, 2^1129282560 is an apocalyptic number.

1129282560 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 1129282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318350320).

1129282560 is an abundant number, since it is smaller than the sum of its proper divisors (3507418080).

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

1129282560 is an equidigital number, since it uses as much as digits as its factorization.

1129282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1129282560 is about 33604.7996571918. The cubic root of 1129282560 is about 1041.3599565771.

The spelling of 1129282560 in words is "one billion, one hundred twenty-nine million, two hundred eighty-two thousand, five hundred sixty".