1028907360 has 480 divisors, whose sum is σ = 4057143552. Its totient is φ = 243855360.

The previous prime is 1028907331. The next prime is 1028907367. The reversal of 1028907360 is 637098201.

1028907360 is a `hidden beast` number, since 10 + 289 + 0 + 7 + 360 = 666.

1028907360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028907367) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5222782 + ... + 5222978.

Almost surely, 2^1028907360 is an apocalyptic number.

1028907360 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 1028907360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028571776).

1028907360 is an abundant number, since it is smaller than the sum of its proper divisors (3028236192).

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

1028907360 is a wasteful number, since it uses less digits than its factorization.

1028907360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1028907360 is about 32076.5858532357. The cubic root of 1028907360 is about 1009.5444012537.

The spelling of 1028907360 in words is "one billion, twenty-eight million, nine hundred seven thousand, three hundred sixty".