1028763918 has 288 divisors, whose sum is σ = 3011613696. Its totient is φ = 250943616.

The previous prime is 1028763913. The next prime is 1028763937. The reversal of 1028763918 is 8193678201.

1028763918 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 7 + 639 + 1 + 8 = 666.

1028763918 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028763913) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12394705 + ... + 12394787.

It is an arithmetic number, because the mean of its divisors is an integer number (10456992).

Almost surely, 2^1028763918 is an apocalyptic number.

1028763918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028763918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505806848).

1028763918 is an abundant number, since it is smaller than the sum of its proper divisors (1982849778).

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

1028763918 is a wasteful number, since it uses less digits than its factorization.

1028763918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1028763918 is about 32074.3498453203. The cubic root of 1028763918 is about 1009.4974848828.

The spelling of 1028763918 in words is "one billion, twenty-eight million, seven hundred sixty-three thousand, nine hundred eighteen".