370561728 has 112 divisors (see below), whose sum is σ = 1005437664. Its totient is φ = 120422400.

The previous prime is 370561727. The next prime is 370561729. The reversal of 370561728 is 827165073.

It is an interprime number because it is at equal distance from previous prime (370561727) and next prime (370561729).

It is not an unprimeable number, because it can be changed into a prime (370561727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1880926 + ... + 1881122.

It is an arithmetic number, because the mean of its divisors is an integer number (8977122).

Almost surely, 2^370561728 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 370561728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502718832).

370561728 is an abundant number, since it is smaller than the sum of its proper divisors (634875936).

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

370561728 is a wasteful number, since it uses less digits than its factorization.

370561728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 370561728 is about 19249.9799480415. The cubic root of 370561728 is about 718.2685556376.

The spelling of 370561728 in words is "three hundred seventy million, five hundred sixty-one thousand, seven hundred twenty-eight".