1012728321 has 24 divisors (see below), whose sum is σ = 1604113056. Its totient is φ = 610583040.

The previous prime is 1012728319. The next prime is 1012728337. The reversal of 1012728321 is 1238272101.

It is not a de Polignac number, because 1012728321 - 2¹ = 1012728319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012728361) 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 23 ways as a sum of consecutive naturals, for example, 7395 + ... + 45608.

It is an arithmetic number, because the mean of its divisors is an integer number (66838044).

Almost surely, 2^1012728321 is an apocalyptic number.

1012728321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012728321 is a deficient number, since it is larger than the sum of its proper divisors (591384735).

1012728321 is a wasteful number, since it uses less digits than its factorization.

1012728321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53213 (or 53210 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1012728321 is about 31823.3926695442. The cubic root of 1012728321 is about 1004.2248987593.

The spelling of 1012728321 in words is "one billion, twelve million, seven hundred twenty-eight thousand, three hundred twenty-one".