1129285248 has 256 divisors, whose sum is σ = 3911120640. Its totient is φ = 280166400.

The previous prime is 1129285237. The next prime is 1129285279. The reversal of 1129285248 is 8425829211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593098 + ... + 594998.

It is an arithmetic number, because the mean of its divisors is an integer number (15277815).

Almost surely, 2^1129285248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129285248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955560320).

1129285248 is an abundant number, since it is smaller than the sum of its proper divisors (2781835392).

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

1129285248 is a wasteful number, since it uses less digits than its factorization.

1129285248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1943 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 1129285248 is about 33604.8396514550. The cubic root of 1129285248 is about 1041.3607828165.

The spelling of 1129285248 in words is "one billion, one hundred twenty-nine million, two hundred eighty-five thousand, two hundred forty-eight".