1158028800 has 240 divisors, whose sum is σ = 3904504560. Its totient is φ = 302448640.

The previous prime is 1158028759. The next prime is 1158028903. The reversal of 1158028800 is 88208511.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 2034916 + ... + 2035484.

It is an arithmetic number, because the mean of its divisors is an integer number (16268769).

Almost surely, 2^1158028800 is an apocalyptic number.

1158028800 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 1158028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952252280).

1158028800 is an abundant number, since it is smaller than the sum of its proper divisors (2746475760).

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

1158028800 is an equidigital number, since it uses as much as digits as its factorization.

1158028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The square root of 1158028800 is about 34029.8222152276. The cubic root of 1158028800 is about 1050.1220719753.

The spelling of 1158028800 in words is "one billion, one hundred fifty-eight million, twenty-eight thousand, eight hundred".