128826 has 24 divisors (see below), whose sum is σ = 296244. Its totient is φ = 40320.

The previous prime is 128819. The next prime is 128831. The reversal of 128826 is 628821.

It can be written as a sum of positive squares in 2 ways, for example, as 123201 + 5625 = 351^2 + 75^2 .

It is a super-2 number, since 2×128826² = 33192276552, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 128826.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96 + ... + 516.

2¹²⁸⁸²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148122).

128826 is an abundant number, since it is smaller than the sum of its proper divisors (167418).

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

128826 is a wasteful number, since it uses less digits than its factorization.

128826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 443 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 128826 is about 358.9233901545. The cubic root of 128826 is about 50.5050153500.

The spelling of 128826 in words is "one hundred twenty-eight thousand, eight hundred twenty-six".