12689028 has 72 divisors (see below), whose sum is σ = 36197280. Its totient is φ = 3841200.

The previous prime is 12689003. The next prime is 12689029. The reversal of 12689028 is 82098621.

It is a super-2 number, since 2×12689028² = 322022863169568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12688983 and 12689001.

It is not an unprimeable number, because it can be changed into a prime (12689029) 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, 12583 + ... + 13553.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^12689028 is an apocalyptic number.

12689028 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 12689028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098640).

12689028 is an abundant number, since it is smaller than the sum of its proper divisors (23508252).

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

12689028 is a wasteful number, since it uses less digits than its factorization.

12689028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 12689028 is about 3562.1661948876. The cubic root of 12689028 is about 233.2434474643.

It can be divided in two parts, 1268 and 9028, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 12689028 in words is "twelve million, six hundred eighty-nine thousand, twenty-eight".