1128833100 has 162 divisors, whose sum is σ = 3700350836. Its totient is φ = 287812800.

The previous prime is 1128833087. The next prime is 1128833141. The reversal of 1128833100 is 13388211.

It is a super-2 number, since 2×1128833100² = 2548528335311220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 474915 + ... + 477285.

Almost surely, 2^1128833100 is an apocalyptic number.

1128833100 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 1128833100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850175418).

1128833100 is an abundant number, since it is smaller than the sum of its proper divisors (2571517736).

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

1128833100 is a wasteful number, since it uses less digits than its factorization.

1128833100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1128833100 is about 33598.1115540740. Note that the first 3 decimals coincide. The cubic root of 1128833100 is about 1041.2217827867.

The spelling of 1128833100 in words is "one billion, one hundred twenty-eight million, eight hundred thirty-three thousand, one hundred".