1361353728 has 352 divisors, whose sum is σ = 4480473600. Its totient is φ = 359202816.

The previous prime is 1361353717. The next prime is 1361353729. The reversal of 1361353728 is 8273531631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361353729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23073763 + ... + 23073821.

Almost surely, 2^1361353728 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 1361353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240236800).

1361353728 is an abundant number, since it is smaller than the sum of its proper divisors (3119119872).

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

1361353728 is a wasteful number, since it uses less digits than its factorization.

1361353728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 1361353728 is about 36896.5273162665. The cubic root of 1361353728 is about 1108.2991368247.

The spelling of 1361353728 in words is "one billion, three hundred sixty-one million, three hundred fifty-three thousand, seven hundred twenty-eight".