1008241728 has 112 divisors (see below), whose sum is σ = 2916204480. Its totient is φ = 305547264.

The previous prime is 1008241723. The next prime is 1008241747. The reversal of 1008241728 is 8271428001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1008241723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164218 + ... + 170246.

It is an arithmetic number, because the mean of its divisors is an integer number (26037540).

Almost surely, 2^1008241728 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 1008241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458102240).

1008241728 is an abundant number, since it is smaller than the sum of its proper divisors (1907962752).

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

1008241728 is a wasteful number, since it uses less digits than its factorization.

1008241728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6124 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 1008241728 is about 31752.8223627444. The cubic root of 1008241728 is about 1002.7397296930.

Adding to 1008241728 its reverse (8271428001), we get a palindrome (9279669729).

The spelling of 1008241728 in words is "one billion, eight million, two hundred forty-one thousand, seven hundred twenty-eight".