89611328 has 56 divisors (see below), whose sum is σ = 187659264. Its totient is φ = 42437760.

The previous prime is 89611321. The next prime is 89611337. The reversal of 89611328 is 82311698.

It is a junction number, because it is equal to n+sod(n) for n = 89611291 and 89611300.

It is not an unprimeable number, because it can be changed into a prime (89611321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1906601 + ... + 1906647.

Almost surely, 2^89611328 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 89611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93829632).

89611328 is an abundant number, since it is smaller than the sum of its proper divisors (98047936).

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

89611328 is an frugal number, since it uses more digits than its factorization.

89611328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 80 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 89611328 is about 9466.3260032602. The cubic root of 89611328 is about 447.4944339372.

The spelling of 89611328 in words is "eighty-nine million, six hundred eleven thousand, three hundred twenty-eight".