1155828000 has 192 divisors, whose sum is σ = 3851003520. Its totient is φ = 302976000.

The previous prime is 1155827989. The next prime is 1155828013. The reversal of 1155828000 is 8285511.

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

It is a congruent number.

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, 731211 + ... + 732789.

It is an arithmetic number, because the mean of its divisors is an integer number (20057310).

Almost surely, 2^1155828000 is an apocalyptic number.

1155828000 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 1155828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925501760).

1155828000 is an abundant number, since it is smaller than the sum of its proper divisors (2695175520).

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

1155828000 is a wasteful number, since it uses less digits than its factorization.

1155828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 1155828000 is about 33997.4704941412. The cubic root of 1155828000 is about 1049.4564079697.

The spelling of 1155828000 in words is "one billion, one hundred fifty-five million, eight hundred twenty-eight thousand".