1028168240 has 80 divisors (see below), whose sum is σ = 2663400960. Its totient is φ = 365909760.

The previous prime is 1028168221. The next prime is 1028168249. The reversal of 1028168240 is 428618201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1028168197 and 1028168206.

It is not an unprimeable number, because it can be changed into a prime (1028168249) 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 15 ways as a sum of consecutive naturals, for example, 28931 + ... + 53789.

It is an arithmetic number, because the mean of its divisors is an integer number (33292512).

Almost surely, 2^1028168240 is an apocalyptic number.

1028168240 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 1028168240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331700480).

1028168240 is an abundant number, since it is smaller than the sum of its proper divisors (1635232720).

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

1028168240 is a wasteful number, since it uses less digits than its factorization.

1028168240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24930 (or 24924 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 1028168240 is about 32065.0626071430. The cubic root of 1028168240 is about 1009.3026065011.

The spelling of 1028168240 in words is "one billion, twenty-eight million, one hundred sixty-eight thousand, two hundred forty".