10952928 has 96 divisors (see below), whose sum is σ = 36529920. Its totient is φ = 3127680.

The previous prime is 10952897. The next prime is 10952939. The reversal of 10952928 is 82925901.

10952928 is a `hidden beast` number, since 109 + 529 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 10952892 and 10952901.

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, 5143 + ... + 6953.

It is an arithmetic number, because the mean of its divisors is an integer number (380520).

Almost surely, 2^10952928 is an apocalyptic number.

10952928 is a gapful number since it is divisible by the number (18) 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 10952928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18264960).

10952928 is an abundant number, since it is smaller than the sum of its proper divisors (25576992).

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

10952928 is a wasteful number, since it uses less digits than its factorization.

10952928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 10952928 is about 3309.5208112354. The cubic root of 10952928 is about 222.0803215563.

The spelling of 10952928 in words is "ten million, nine hundred fifty-two thousand, nine hundred twenty-eight".