359128 has 48 divisors (see below), whose sum is σ = 861840. Its totient is φ = 137280.

The previous prime is 359111. The next prime is 359129. The reversal of 359128 is 821953.

359128 is a nontrivial binomial coefficient, being equal to C(848, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 359096 and 359105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359129) by changing a digit.

359128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 6750 + ... + 6802.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2³⁵⁹¹²⁸ is an apocalyptic number.

359128 is the 847-th triangular number and also the 424-th hexagonal number.

359128 is the 283-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920).

359128 is an abundant number, since it is smaller than the sum of its proper divisors (502712).

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

359128 is a wasteful number, since it uses less digits than its factorization.

359128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 359128 is about 599.2728927626. The cubic root of 359128 is about 71.0803824120.

It can be divided in two parts, 35912 and 8, that multiplied together give a square (287296 = 536²).

The spelling of 359128 in words is "three hundred fifty-nine thousand, one hundred twenty-eight".