1133028000 has 480 divisors, whose sum is σ = 4495130640. Its totient is φ = 277862400.

The previous prime is 1133027993. The next prime is 1133028031. The reversal of 1133028000 is 8203311.

It can be written as a sum of positive squares in 8 ways, for example, as 85599504 + 1047428496 = 9252^2 + 32364^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4211866 + ... + 4212134.

Almost surely, 2^1133028000 is an apocalyptic number.

1133028000 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 1133028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247565320).

1133028000 is an abundant number, since it is smaller than the sum of its proper divisors (3362102640).

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

1133028000 is a wasteful number, since it uses less digits than its factorization.

1133028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1133028000 is about 33660.4812799817. The cubic root of 1133028000 is about 1042.5099631572.

The spelling of 1133028000 in words is "one billion, one hundred thirty-three million, twenty-eight thousand".