1028188800 has 288 divisors, whose sum is σ = 3863964000. Its totient is φ = 259614720.

The previous prime is 1028188783. The next prime is 1028188801. The reversal of 1028188800 is 88818201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1028188801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 546261 + ... + 548139.

Almost surely, 2^1028188800 is an apocalyptic number.

1028188800 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 1028188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931982000).

1028188800 is an abundant number, since it is smaller than the sum of its proper divisors (2835775200).

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

1028188800 is a wasteful number, since it uses less digits than its factorization.

1028188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 1028188800 is about 32065.3832036980. The cubic root of 1028188800 is about 1009.3093340393.

The spelling of 1028188800 in words is "one billion, twenty-eight million, one hundred eighty-eight thousand, eight hundred".