1290828 has 72 divisors (see below), whose sum is σ = 3813376. Its totient is φ = 332640.

The previous prime is 1290823. The next prime is 1290847. The reversal of 1290828 is 8280921.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1290795 and 1290804.

It is not an unprimeable number, because it can be changed into a prime (1290823) 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, 10101 + ... + 10227.

2^1290828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906688).

1290828 is an abundant number, since it is smaller than the sum of its proper divisors (2522548).

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

1290828 is a wasteful number, since it uses less digits than its factorization.

1290828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1290828 is about 1136.1461173634. The cubic root of 1290828 is about 108.8820090675.

It can be divided in two parts, 12 and 90828, that multiplied together give a square (1089936 = 1044²).

The spelling of 1290828 in words is "one million, two hundred ninety thousand, eight hundred twenty-eight".