89350128 has 240 divisors, whose sum is σ = 306924800. Its totient is φ = 25147584.

The previous prime is 89350099. The next prime is 89350169. The reversal of 89350128 is 82105398.

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 = 89350092 and 89350101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1333551 + ... + 1333617.

Almost surely, 2^89350128 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 89350128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153462400).

89350128 is an abundant number, since it is smaller than the sum of its proper divisors (217574672).

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

89350128 is an equidigital number, since it uses as much as digits as its factorization.

89350128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 89350128 is about 9452.5196640896. The cubic root of 89350128 is about 447.0592237192.

The spelling of 89350128 in words is "eighty-nine million, three hundred fifty thousand, one hundred twenty-eight".