189281040 has 320 divisors, whose sum is σ = 693288960. Its totient is φ = 42301440.

The previous prime is 189281023. The next prime is 189281041. The reversal of 189281040 is 40182981.

It is a junction number, because it is equal to n+sod(n) for n = 189280992 and 189281010.

It is not an unprimeable number, because it can be changed into a prime (189281041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1837629 + ... + 1837731.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^189281040 is an apocalyptic number.

189281040 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 189281040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346644480).

189281040 is an abundant number, since it is smaller than the sum of its proper divisors (504007920).

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

189281040 is a wasteful number, since it uses less digits than its factorization.

189281040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 189281040 is about 13757.9446139313. The cubic root of 189281040 is about 574.1636637878.

The spelling of 189281040 in words is "one hundred eighty-nine million, two hundred eighty-one thousand, forty".