1128585960 has 160 divisors (see below), whose sum is σ = 3823696800. Its totient is φ = 298546560.

The previous prime is 1128585917. The next prime is 1128585961. The reversal of 1128585960 is 695858211.

It is a happy number.

1128585960 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 58 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1128585961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 423111 + ... + 425769.

It is an arithmetic number, because the mean of its divisors is an integer number (23898105).

Almost surely, 2^1128585960 is an apocalyptic number.

1128585960 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 1128585960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911848400).

1128585960 is an abundant number, since it is smaller than the sum of its proper divisors (2695110840).

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

1128585960 is a wasteful number, since it uses less digits than its factorization.

1128585960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 1128585960 is about 33594.4334674660. The cubic root of 1128585960 is about 1041.1457909408.

The spelling of 1128585960 in words is "one billion, one hundred twenty-eight million, five hundred eighty-five thousand, nine hundred sixty".