10528848 has 180 divisors, whose sum is σ = 35631648. Its totient is φ = 2872320.

The previous prime is 10528811. The next prime is 10528853. The reversal of 10528848 is 84882501.

It is a super-2 number, since 2×10528848² = 221713280414208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 457765 + ... + 457787.

Almost surely, 2^10528848 is an apocalyptic number.

10528848 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 10528848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17815824).

10528848 is an abundant number, since it is smaller than the sum of its proper divisors (25102800).

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

10528848 is a wasteful number, since it uses less digits than its factorization.

10528848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 10528848 is about 3244.8186389997. The cubic root of 10528848 is about 219.1763138844.

The spelling of 10528848 in words is "ten million, five hundred twenty-eight thousand, eight hundred forty-eight".