10835928 has 72 divisors (see below), whose sum is σ = 31242900. Its totient is φ = 3383424.

The previous prime is 10835917. The next prime is 10835959. The reversal of 10835928 is 82953801.

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

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 = 10835892 and 10835901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 121708 + ... + 121796.

Almost surely, 2^10835928 is an apocalyptic number.

10835928 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 10835928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15621450).

10835928 is an abundant number, since it is smaller than the sum of its proper divisors (20406972).

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

10835928 is a wasteful number, since it uses less digits than its factorization.

10835928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 10835928 is about 3291.7970775854. The cubic root of 10835928 is about 221.2867295146.

The spelling of 10835928 in words is "ten million, eight hundred thirty-five thousand, nine hundred twenty-eight".