1028482920 has 192 divisors, whose sum is σ = 3649464000. Its totient is φ = 259780608.

The previous prime is 1028482919. The next prime is 1028482933. The reversal of 1028482920 is 292848201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181896 + ... + 187464.

It is an arithmetic number, because the mean of its divisors is an integer number (19007625).

Almost surely, 2^1028482920 is an apocalyptic number.

1028482920 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 1028482920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824732000).

1028482920 is an abundant number, since it is smaller than the sum of its proper divisors (2620981080).

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

1028482920 is a wasteful number, since it uses less digits than its factorization.

1028482920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1028482920 is about 32069.9691300132. The cubic root of 1028482920 is about 1009.4055646666.

It can be divided in two parts, 10284829 and 20, that added together give a square (10284849 = 3207²).

The spelling of 1028482920 in words is "one billion, twenty-eight million, four hundred eighty-two thousand, nine hundred twenty".