89428320 has 192 divisors, whose sum is σ = 317399040. Its totient is φ = 23514624.

The previous prime is 89428319. The next prime is 89428321. The reversal of 89428320 is 2382498.

It is an interprime number because it is at equal distance from previous prime (89428319) and next prime (89428321).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89428321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548559 + ... + 548721.

It is an arithmetic number, because the mean of its divisors is an integer number (1653120).

Almost surely, 2^89428320 is an apocalyptic number.

89428320 is a gapful number since it is divisible by the number (80) 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 89428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158699520).

89428320 is an abundant number, since it is smaller than the sum of its proper divisors (227970720).

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

89428320 is a wasteful number, since it uses less digits than its factorization.

89428320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 89428320 is about 9456.6547996636. The cubic root of 89428320 is about 447.1895957120.

The spelling of 89428320 in words is "eighty-nine million, four hundred twenty-eight thousand, three hundred twenty".