1008228872 has 64 divisors (see below), whose sum is σ = 2237414400. Its totient is φ = 416805120.

The previous prime is 1008228857. The next prime is 1008228887. The reversal of 1008228872 is 2788228001.

It is an interprime number because it is at equal distance from previous prime (1008228857) and next prime (1008228887).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 674558 + ... + 676050.

It is an arithmetic number, because the mean of its divisors is an integer number (34959600).

Almost surely, 2^1008228872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008228872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118707200).

1008228872 is an abundant number, since it is smaller than the sum of its proper divisors (1229185528).

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

1008228872 is a wasteful number, since it uses less digits than its factorization.

1008228872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 1008228872 is about 31752.6199234016. The cubic root of 1008228872 is about 1002.7354677267.

The spelling of 1008228872 in words is "one billion, eight million, two hundred twenty-eight thousand, eight hundred seventy-two".