189280 has 72 divisors (see below), whose sum is σ = 553392. Its totient is φ = 59904.

The previous prime is 189271. The next prime is 189307. The reversal of 189280 is 82981.

189280 = T₉₇ + T₉₈ + ... + T₁₂₆.

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

It is a congruent number.

It is an unprimeable number.

189280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14554 + ... + 14566.

It is an arithmetic number, because the mean of its divisors is an integer number (7686).

2¹⁸⁹²⁸⁰ is an apocalyptic number.

189280 is a gapful number since it is divisible by the number (10) 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 189280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276696).

189280 is an abundant number, since it is smaller than the sum of its proper divisors (364112).

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

189280 is a wasteful number, since it uses less digits than its factorization.

189280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 189280 is about 435.0632137977. The cubic root of 189280 is about 57.4162612210.

The spelling of 189280 in words is "one hundred eighty-nine thousand, two hundred eighty".