89419128 has 48 divisors (see below), whose sum is σ = 231051240. Its totient is φ = 28837440.

The previous prime is 89419103. The next prime is 89419129. The reversal of 89419128 is 82191498.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 89419128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89419129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21126 + ... + 25002.

Almost surely, 2^89419128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89419128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115525620).

89419128 is an abundant number, since it is smaller than the sum of its proper divisors (141632112).

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

89419128 is a wasteful number, since it uses less digits than its factorization.

89419128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3913 counting only the distinct ones).

The product of its digits is 41472, while the sum is 42.

The square root of 89419128 is about 9456.1687802196. The cubic root of 89419128 is about 447.1742735426.

The spelling of 89419128 in words is "eighty-nine million, four hundred nineteen thousand, one hundred twenty-eight".