1309904928 has 72 divisors (see below), whose sum is σ = 3733814448. Its totient is φ = 435606912.

The previous prime is 1309904909. The next prime is 1309904933. The reversal of 1309904928 is 8294099031.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122451 + ... + 132717.

It is an arithmetic number, because the mean of its divisors is an integer number (51858534).

Almost surely, 2^1309904928 is an apocalyptic number.

1309904928 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 1309904928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866907224).

1309904928 is an abundant number, since it is smaller than the sum of its proper divisors (2423909520).

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

1309904928 is a wasteful number, since it uses less digits than its factorization.

1309904928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10726 (or 10715 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1309904928 is about 36192.6087481961. The cubic root of 1309904928 is about 1094.1577109322.

The spelling of 1309904928 in words is "one billion, three hundred nine million, nine hundred four thousand, nine hundred twenty-eight".