12528810 has 96 divisors (see below), whose sum is σ = 38905920. Its totient is φ = 2860704.

The previous prime is 12528793. The next prime is 12528823. The reversal of 12528810 is 1882521.

It is a super-2 number, since 2×12528810² = 313942160032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12757 + ... + 13703.

It is an arithmetic number, because the mean of its divisors is an integer number (405270).

Almost surely, 2^12528810 is an apocalyptic number.

12528810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12528810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19452960).

12528810 is an abundant number, since it is smaller than the sum of its proper divisors (26377110).

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

12528810 is a wasteful number, since it uses less digits than its factorization.

12528810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 12528810 is about 3539.6059102674. The cubic root of 12528810 is about 232.2576037737.

The spelling of 12528810 in words is "twelve million, five hundred twenty-eight thousand, eight hundred ten".