1028872008 has 96 divisors (see below), whose sum is σ = 2861601600. Its totient is φ = 333777024.

The previous prime is 1028871979. The next prime is 1028872027. The reversal of 1028872008 is 8002788201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1358766 + ... + 1359522.

It is an arithmetic number, because the mean of its divisors is an integer number (29808350).

Almost surely, 2^1028872008 is an apocalyptic number.

1028872008 is a gapful number since it is divisible by the number (18) 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 1028872008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430800800).

1028872008 is an abundant number, since it is smaller than the sum of its proper divisors (1832729592).

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

1028872008 is a wasteful number, since it uses less digits than its factorization.

1028872008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1028872008 is about 32076.0347923493. The cubic root of 1028872008 is about 1009.5328388838.

The spelling of 1028872008 in words is "one billion, twenty-eight million, eight hundred seventy-two thousand, eight".