89428400 has 60 divisors (see below), whose sum is σ = 216225000. Its totient is φ = 35543040.

The previous prime is 89428363. The next prime is 89428403. The reversal of 89428400 is 482498.

It is not an unprimeable number, because it can be changed into a prime (89428403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70976 + ... + 72224.

It is an arithmetic number, because the mean of its divisors is an integer number (3603750).

Almost surely, 2^89428400 is an apocalyptic number.

89428400 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 89428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108112500).

89428400 is an abundant number, since it is smaller than the sum of its proper divisors (126796600).

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

89428400 is a wasteful number, since it uses less digits than its factorization.

89428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 89428400 is about 9456.6590294882. The cubic root of 89428400 is about 447.1897290596.

The spelling of 89428400 in words is "eighty-nine million, four hundred twenty-eight thousand, four hundred".