1008900288 has 84 divisors (see below), whose sum is σ = 3154744008. Its totient is φ = 305725440.

The previous prime is 1008900287. The next prime is 1008900293. The reversal of 1008900288 is 8820098001.

It is a super-2 number, since 2×1008900288² = 2035759582252965888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1008900283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73281 + ... + 85952.

Almost surely, 2^1008900288 is an apocalyptic number.

1008900288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1008900288 is an abundant number, since it is smaller than the sum of its proper divisors (2145843720).

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

1008900288 is a wasteful number, since it uses less digits than its factorization.

1008900288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159262 (or 159249 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1008900288 is about 31763.1907717093. The cubic root of 1008900288 is about 1002.9580042502.

Adding to 1008900288 its reverse (8820098001), we get a palindrome (9828998289).

The spelling of 1008900288 in words is "one billion, eight million, nine hundred thousand, two hundred eighty-eight".