10949328 has 60 divisors (see below), whose sum is σ = 33005700. Its totient is φ = 3368448.

The previous prime is 10949303. The next prime is 10949329. The reversal of 10949328 is 82394901.

It can be written as a sum of positive squares in 2 ways, for example, as 2585664 + 8363664 = 1608^2 + 2892^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10949292 and 10949301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10949329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1053 + ... + 4796.

It is an arithmetic number, because the mean of its divisors is an integer number (550095).

Almost surely, 2^10949328 is an apocalyptic number.

10949328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10949328 is an abundant number, since it is smaller than the sum of its proper divisors (22056372).

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

10949328 is a wasteful number, since it uses less digits than its factorization.

10949328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 10949328 is about 3308.9768811522. The cubic root of 10949328 is about 222.0559878267.

The spelling of 10949328 in words is "ten million, nine hundred forty-nine thousand, three hundred twenty-eight".