10002528 has 120 divisors (see below), whose sum is σ = 31284792. Its totient is φ = 3124224.

The previous prime is 10002527. The next prime is 10002529. The reversal of 10002528 is 82520001.

It is an interprime number because it is at equal distance from previous prime (10002527) and next prime (10002529).

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

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 10002528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002521) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 43951 + ... + 44177.

Almost surely, 2^10002528 is an apocalyptic number.

10002528 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 10002528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15642396).

10002528 is an abundant number, since it is smaller than the sum of its proper divisors (21282264).

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

10002528 is a wasteful number, since it uses less digits than its factorization.

10002528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

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

The square root of 10002528 is about 3162.6773468060. The cubic root of 10002528 is about 215.4616221766.

Adding to 10002528 its reverse (82520001), we get a palindrome (92522529).

The spelling of 10002528 in words is "ten million, two thousand, five hundred twenty-eight".