1028482560 has 360 divisors, whose sum is σ = 4148011296. Its totient is φ = 234823680.

The previous prime is 1028482547. The next prime is 1028482571. The reversal of 1028482560 is 652848201.

1028482560 is a `hidden beast` number, since 10 + 2 + 8 + 4 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

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, 1128505 + ... + 1129415.

Almost surely, 2^1028482560 is an apocalyptic number.

1028482560 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 1028482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074005648).

1028482560 is an abundant number, since it is smaller than the sum of its proper divisors (3119528736).

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

1028482560 is an equidigital number, since it uses as much as digits as its factorization.

1028482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1028482560 is about 32069.9635172851. The cubic root of 1028482560 is about 1009.4054468925.

The spelling of 1028482560 in words is "one billion, twenty-eight million, four hundred eighty-two thousand, five hundred sixty".