1008287280 has 480 divisors, whose sum is σ = 4549708800. Its totient is φ = 193259520.

The previous prime is 1008287279. The next prime is 1008287309. The reversal of 1008287280 is 827828001.

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 95 ways as a sum of consecutive naturals, for example, 720021 + ... + 721419.

It is an arithmetic number, because the mean of its divisors is an integer number (9478560).

Almost surely, 2^1008287280 is an apocalyptic number.

1008287280 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 1008287280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274854400).

1008287280 is an abundant number, since it is smaller than the sum of its proper divisors (3541421520).

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

1008287280 is a wasteful number, since it uses less digits than its factorization.

1008287280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1440 counting only the distinct ones).

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

The square root of 1008287280 is about 31753.5396452112. The cubic root of 1008287280 is about 1002.7548306061.

The spelling of 1008287280 in words is "one billion, eight million, two hundred eighty-seven thousand, two hundred eighty".