89430528 has 160 divisors (see below), whose sum is σ = 267125760. Its totient is φ = 26357760.

The previous prime is 89430527. The next prime is 89430541. The reversal of 89430528 is 82503498.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (89430527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131993 + ... + 1132071.

It is an arithmetic number, because the mean of its divisors is an integer number (1669536).

Almost surely, 2^89430528 is an apocalyptic number.

89430528 is a gapful number since it is divisible by the number (88) 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 89430528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133562880).

89430528 is an abundant number, since it is smaller than the sum of its proper divisors (177695232).

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

89430528 is a wasteful number, since it uses less digits than its factorization.

89430528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 89430528 is about 9456.7715421279. The cubic root of 89430528 is about 447.1932760768.

The spelling of 89430528 in words is "eighty-nine million, four hundred thirty thousand, five hundred twenty-eight".