1008728928 has 144 divisors (see below), whose sum is σ = 2968042896. Its totient is φ = 324725760.

The previous prime is 1008728921. The next prime is 1008728969. The reversal of 1008728928 is 8298278001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008728921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1928475 + ... + 1928997.

It is an arithmetic number, because the mean of its divisors is an integer number (20611409).

Almost surely, 2^1008728928 is an apocalyptic number.

1008728928 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 1008728928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484021448).

1008728928 is an abundant number, since it is smaller than the sum of its proper divisors (1959313968).

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

1008728928 is a wasteful number, since it uses less digits than its factorization.

1008728928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1008728928 is about 31760.4931951631. The cubic root of 1008728928 is about 1002.9012174640.

The spelling of 1008728928 in words is "one billion, eight million, seven hundred twenty-eight thousand, nine hundred twenty-eight".