1028772 has 54 divisors (see below), whose sum is σ = 2822274. Its totient is φ = 314880.

The previous prime is 1028761. The next prime is 1028773. The reversal of 1028772 is 2778201.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 1028196 = 24^2 + 1014^2 .

It is not an unprimeable number, because it can be changed into a prime (1028773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25072 + ... + 25112.

2^1028772 is an apocalyptic number.

1028772 is a gapful number since it is divisible by the number (12) 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 1028772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411137).

1028772 is an abundant number, since it is smaller than the sum of its proper divisors (1793502).

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

1028772 is a wasteful number, since it uses less digits than its factorization.

1028772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1028772 is about 1014.2839839019. The cubic root of 1028772 is about 100.9500128423.

It can be divided in two parts, 10 and 28772, that added together give a palindrome (28782).

The spelling of 1028772 in words is "one million, twenty-eight thousand, seven hundred seventy-two".