1028286120 has 128 divisors (see below), whose sum is σ = 3225600000. Its totient is φ = 261930240.

The previous prime is 1028286073. The next prime is 1028286121. The reversal of 1028286120 is 216828201.

1028286120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1028286121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292131 + ... + 295629.

It is an arithmetic number, because the mean of its divisors is an integer number (25200000).

Almost surely, 2^1028286120 is an apocalyptic number.

1028286120 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 1028286120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612800000).

1028286120 is an abundant number, since it is smaller than the sum of its proper divisors (2197313880).

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

1028286120 is a wasteful number, since it uses less digits than its factorization.

1028286120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1028286120 is about 32066.9006921467. The cubic root of 1028286120 is about 1009.3411773757.

The spelling of 1028286120 in words is "one billion, twenty-eight million, two hundred eighty-six thousand, one hundred twenty".