1028198080 has 448 divisors, whose sum is σ = 3342753792. Its totient is φ = 291962880.

The previous prime is 1028198071. The next prime is 1028198081. The reversal of 1028198080 is 808918201.

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

It is not an unprimeable number, because it can be changed into a prime (1028198081) 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 63 ways as a sum of consecutive naturals, for example, 15346207 + ... + 15346273.

It is an arithmetic number, because the mean of its divisors is an integer number (7461504).

Almost surely, 2^1028198080 is an apocalyptic number.

1028198080 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 1028198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671376896).

1028198080 is an abundant number, since it is smaller than the sum of its proper divisors (2314555712).

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

1028198080 is a wasteful number, since it uses less digits than its factorization.

1028198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The square root of 1028198080 is about 32065.5279077080. The cubic root of 1028198080 is about 1009.3123705641.

The spelling of 1028198080 in words is "one billion, twenty-eight million, one hundred ninety-eight thousand, eighty".