927628849 has 27 divisors (see below), whose sum is σ = 1143856107. Its totient is φ = 749973168.

The previous prime is 927628753. The next prime is 927628859. The reversal of 927628849 is 948826729.

The square root of 927628849 is 30457.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 863948449 + 63680400 = 29393^2 + 7980^2 .

It is not a de Polignac number, because 927628849 - 2⁹ = 927628337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 927628849.

It is not an unprimeable number, because it can be changed into a prime (927628859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4050667 + ... + 4050895.

It is an arithmetic number, because the mean of its divisors is an integer number (42365041).

Almost surely, 2^927628849 is an apocalyptic number.

927628849 is the 30457-th square number.

927628849 is the 15229-th centered octagonal number.

It is an amenable number.

927628849 is a deficient number, since it is larger than the sum of its proper divisors (216227258).

927628849 is an equidigital number, since it uses as much as digits as its factorization.

927628849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 55.

The cubic root of 927628849 is about 975.2697387369.

The spelling of 927628849 in words is "nine hundred twenty-seven million, six hundred twenty-eight thousand, eight hundred forty-nine".