10028520 has 96 divisors (see below), whose sum is σ = 33064200. Its totient is φ = 2635776.

The previous prime is 10028509. The next prime is 10028527. The reversal of 10028520 is 2582001.

It can be written as a sum of positive squares in 4 ways, for example, as 3090564 + 6937956 = 1758^2 + 2634^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10028493 and 10028502.

It is not an unprimeable number, because it can be changed into a prime (10028527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31884 + ... + 32196.

Almost surely, 2^10028520 is an apocalyptic number.

10028520 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 10028520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16532100).

10028520 is an abundant number, since it is smaller than the sum of its proper divisors (23035680).

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

10028520 is a wasteful number, since it uses less digits than its factorization.

10028520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 412 counting only the distinct ones).

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

The square root of 10028520 is about 3166.7838574806. The cubic root of 10028520 is about 215.6480895249.

The spelling of 10028520 in words is "ten million, twenty-eight thousand, five hundred twenty".