802128 has 40 divisors (see below), whose sum is σ = 2196288. Its totient is φ = 251392.

The previous prime is 802127. The next prime is 802129. The reversal of 802128 is 821208.

It is an interprime number because it is at equal distance from previous prime (802127) and next prime (802129).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 802128.

It is not an unprimeable number, because it can be changed into a prime (802121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325 + ... + 1307.

2⁸⁰²¹²⁸ 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 802128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098144).

802128 is an abundant number, since it is smaller than the sum of its proper divisors (1394160).

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

802128 is a wasteful number, since it uses less digits than its factorization.

802128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 802128 is about 895.6159891382. The cubic root of 802128 is about 92.9140146396.

The spelling of 802128 in words is "eight hundred two thousand, one hundred twenty-eight".