1128057600 has 216 divisors, whose sum is σ = 3816286992. Its totient is φ = 293273600.

The previous prime is 1128057577. The next prime is 1128057611. The reversal of 1128057600 is 67508211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 786484 + ... + 787916.

Almost surely, 2^1128057600 is an apocalyptic number.

1128057600 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 1128057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908143496).

1128057600 is an abundant number, since it is smaller than the sum of its proper divisors (2688229392).

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

1128057600 is a wasteful number, since it uses less digits than its factorization.

1128057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 1128057600 is about 33586.5687440679. The cubic root of 1128057600 is about 1040.9832909402.

The spelling of 1128057600 in words is "one billion, one hundred twenty-eight million, fifty-seven thousand, six hundred".