1361584928 has 54 divisors (see below), whose sum is σ = 2951444097. Its totient is φ = 617858560.

The previous prime is 1361584919. The next prime is 1361584937. The reversal of 1361584928 is 8294851631.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1361584919) and next prime (1361584937).

It can be written as a sum of positive squares in 2 ways, for example, as 1343369104 + 18215824 = 36652^2 + 4268^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=26092.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2295800 + ... + 2296392.

Almost surely, 2^1361584928 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 1361584928

1361584928 is an abundant number, since it is smaller than the sum of its proper divisors (1589859169).

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

1361584928 is an frugal number, since it uses more digits than its factorization.

1361584928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 606 counting only the distinct ones).

The product of its digits is 414720, while the sum is 47.

The square root of 1361584928 is about 36899.6602694388. The cubic root of 1361584928 is about 1108.3618744392.

The spelling of 1361584928 in words is "one billion, three hundred sixty-one million, five hundred eighty-four thousand, nine hundred twenty-eight".