1087128000 has 448 divisors, whose sum is σ = 4564684800. Its totient is φ = 248140800.

The previous prime is 1087127999. The next prime is 1087128013. The reversal of 1087128000 is 8217801.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511641 + ... + 1512359.

Almost surely, 2^1087128000 is an apocalyptic number.

1087128000 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 1087128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282342400).

1087128000 is an abundant number, since it is smaller than the sum of its proper divisors (3477556800).

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

1087128000 is an equidigital number, since it uses as much as digits as its factorization.

1087128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1087128000 is about 32971.6241638170. The cubic root of 1087128000 is about 1028.2377886136.

The spelling of 1087128000 in words is "one billion, eighty-seven million, one hundred twenty-eight thousand".