1361264928 has 96 divisors (see below), whose sum is σ = 3692122560. Its totient is φ = 438819840.

The previous prime is 1361264909. The next prime is 1361264939. The reversal of 1361264928 is 8294621631.

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 1361264928.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634738 + ... + 636878.

It is an arithmetic number, because the mean of its divisors is an integer number (38459610).

Almost surely, 2^1361264928 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 1361264928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846061280).

1361264928 is an abundant number, since it is smaller than the sum of its proper divisors (2330857632).

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

1361264928 is a wasteful number, since it uses less digits than its factorization.

1361264928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2362 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 1361264928 is about 36895.3239313602. The cubic root of 1361264928 is about 1108.2750384827.

The spelling of 1361264928 in words is "one billion, three hundred sixty-one million, two hundred sixty-four thousand, nine hundred twenty-eight".