1008457728 has 96 divisors (see below), whose sum is σ = 2708858880. Its totient is φ = 333619200.

The previous prime is 1008457727. The next prime is 1008457729. The reversal of 1008457728 is 8277548001.

It is an interprime number because it is at equal distance from previous prime (1008457727) and next prime (1008457729).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1008457728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008457721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927201 + ... + 928287.

It is an arithmetic number, because the mean of its divisors is an integer number (28217280).

Almost surely, 2^1008457728 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 1008457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354429440).

1008457728 is an abundant number, since it is smaller than the sum of its proper divisors (1700401152).

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

1008457728 is a wasteful number, since it uses less digits than its factorization.

1008457728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 1008457728 is about 31756.2234530493. The cubic root of 1008457728 is about 1002.8113316743.

The spelling of 1008457728 in words is "one billion, eight million, four hundred fifty-seven thousand, seven hundred twenty-eight".