10929312 has 72 divisors (see below), whose sum is σ = 31420116. Its totient is φ = 3603456.

The previous prime is 10929307. The next prime is 10929367. The reversal of 10929312 is 21392901.

It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 197136 = 3276^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39318 + ... + 39594.

Almost surely, 2^10929312 is an apocalyptic number.

10929312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10929312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15710058).

10929312 is an abundant number, since it is smaller than the sum of its proper divisors (20490804).

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

10929312 is a wasteful number, since it uses less digits than its factorization.

10929312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10929312 is about 3305.9509978220. The cubic root of 10929312 is about 221.9205949278.

It can be divided in two parts, 1092 and 9312, that added together give a square (10404 = 102²).

The spelling of 10929312 in words is "ten million, nine hundred twenty-nine thousand, three hundred twelve".