1027728 has 100 divisors (see below), whose sum is σ = 3255868. Its totient is φ = 311040.

The previous prime is 1027727. The next prime is 1027739. The reversal of 1027728 is 8277201.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 944784 = 288^2 + 972^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027727) 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 19 ways as a sum of consecutive naturals, for example, 16818 + ... + 16878.

2^1027728 is an apocalyptic number.

1027728 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 1027728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627934).

1027728 is an abundant number, since it is smaller than the sum of its proper divisors (2228140).

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

1027728 is a wasteful number, since it uses less digits than its factorization.

1027728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 79 counting only the distinct ones).

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

The square root of 1027728 is about 1013.7692045037. The cubic root of 1027728 is about 100.9158531892.

The spelling of 1027728 in words is "one million, twenty-seven thousand, seven hundred twenty-eight".