1028832 has 48 divisors (see below), whose sum is σ = 3088512. Its totient is φ = 293760.

The previous prime is 1028809. The next prime is 1028837. The reversal of 1028832 is 2388201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028837) 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 7 ways as a sum of consecutive naturals, for example, 94 + ... + 1437.

It is an arithmetic number, because the mean of its divisors is an integer number (64344).

2^1028832 is an apocalyptic number.

1028832 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 1028832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544256).

1028832 is an abundant number, since it is smaller than the sum of its proper divisors (2059680).

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

1028832 is a wasteful number, since it uses less digits than its factorization.

1028832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1028832 is about 1014.3135609860. The cubic root of 1028832 is about 100.9519753384.

The spelling of 1028832 in words is "one million, twenty-eight thousand, eight hundred thirty-two".