189016128 has 252 divisors, whose sum is σ = 650844012. Its totient is φ = 52254720.

The previous prime is 189016127. The next prime is 189016133. The reversal of 189016128 is 821610981.

It can be written as a sum of positive squares in 2 ways, for example, as 73410624 + 115605504 = 8568^2 + 10752^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×189016128² = 71454193288224768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 189016092 and 189016101.

It is not an unprimeable number, because it can be changed into a prime (189016127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1044198 + ... + 1044378.

Almost surely, 2^189016128 is an apocalyptic number.

189016128 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 189016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325422006).

189016128 is an abundant number, since it is smaller than the sum of its proper divisors (461827884).

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

189016128 is a wasteful number, since it uses less digits than its factorization.

189016128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 189016128 is about 13748.3136420435. The cubic root of 189016128 is about 573.8956780468.

The spelling of 189016128 in words is "one hundred eighty-nine million, sixteen thousand, one hundred twenty-eight".