10528200 has 72 divisors (see below), whose sum is σ = 35363250. Its totient is φ = 2807040.

The previous prime is 10528183. The next prime is 10528211. The reversal of 10528200 is 282501.

It can be written as a sum of positive squares in 3 ways, for example, as 7001316 + 3526884 = 2646^2 + 1878^2 .

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

It is a super-2 number, since 2×10528200² = 221685990480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1125 + ... + 4724.

Almost surely, 2^10528200 is an apocalyptic number.

10528200 is a gapful number since it is divisible by the number (10) 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 10528200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17681625).

10528200 is an abundant number, since it is smaller than the sum of its proper divisors (24835050).

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

10528200 is a wasteful number, since it uses less digits than its factorization.

10528200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10528200 is about 3244.7187859659. The cubic root of 10528200 is about 219.1718173759.

The spelling of 10528200 in words is "ten million, five hundred twenty-eight thousand, two hundred".