1009296048 has 80 divisors (see below), whose sum is σ = 2754823680. Its totient is φ = 317899008.

The previous prime is 1009296037. The next prime is 1009296049. The reversal of 1009296048 is 8406929001.

It is a junction number, because it is equal to n+sod(n) for n = 1009295997 and 1009296015.

It is not an unprimeable number, because it can be changed into a prime (1009296049) 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, 57711 + ... + 73137.

It is an arithmetic number, because the mean of its divisors is an integer number (34435296).

Almost surely, 2^1009296048 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 1009296048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377411840).

1009296048 is an abundant number, since it is smaller than the sum of its proper divisors (1745527632).

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

1009296048 is a wasteful number, since it uses less digits than its factorization.

1009296048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15514 (or 15508 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1009296048 is about 31769.4200135917. The cubic root of 1009296048 is about 1003.0891301156.

The spelling of 1009296048 in words is "one billion, nine million, two hundred ninety-six thousand, forty-eight".