89588928 has 168 divisors, whose sum is σ = 281123136. Its totient is φ = 24960000.

The previous prime is 89588927. The next prime is 89588957. The reversal of 89588928 is 82988598.

It is not an unprimeable number, because it can be changed into a prime (89588927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356803 + ... + 357053.

It is an arithmetic number, because the mean of its divisors is an integer number (1673352).

Almost surely, 2^89588928 is an apocalyptic number.

89588928 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 89588928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140561568).

89588928 is an abundant number, since it is smaller than the sum of its proper divisors (191534208).

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

89588928 is a wasteful number, since it uses less digits than its factorization.

89588928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 280 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 57.

The square root of 89588928 is about 9465.1427881464. The cubic root of 89588928 is about 447.4571443412.

The spelling of 89588928 in words is "eighty-nine million, five hundred eighty-eight thousand, nine hundred twenty-eight".