192888 has 64 divisors (see below), whose sum is σ = 576000. Its totient is φ = 59616.

The previous prime is 192887. The next prime is 192889. The reversal of 192888 is 888291.

It is an interprime number because it is at equal distance from previous prime (192887) and next prime (192889).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

192888 is a modest number, since divided by 888 gives 192 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4081 + ... + 4127.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

2¹⁹²⁸⁸⁸ is an apocalyptic number.

192888 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 192888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288000).

192888 is an abundant number, since it is smaller than the sum of its proper divisors (383112).

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

192888 is a wasteful number, since it uses less digits than its factorization.

192888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 192888 is about 439.1901638243. The cubic root of 192888 is about 57.7787847732.

It can be divided in two parts, 1928 and 88, that added together give a triangular number (2016 = T₆₃).

The spelling of 192888 in words is "one hundred ninety-two thousand, eight hundred eighty-eight".