10964928 has 112 divisors (see below), whose sum is σ = 32772096. Its totient is φ = 3210240.

The previous prime is 10964911. The next prime is 10964953. The reversal of 10964928 is 82946901.

10964928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57313 + ... + 57503.

It is an arithmetic number, because the mean of its divisors is an integer number (292608).

Almost surely, 2^10964928 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 10964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16386048).

10964928 is an abundant number, since it is smaller than the sum of its proper divisors (21807168).

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

10964928 is a wasteful number, since it uses less digits than its factorization.

10964928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 10964928 is about 3311.3332662237. Note that the first 3 decimals coincide. The cubic root of 10964928 is about 222.1613955002.

The spelling of 10964928 in words is "ten million, nine hundred sixty-four thousand, nine hundred twenty-eight".