89028400 has 60 divisors (see below), whose sum is σ = 223213392. Its totient is φ = 34059520.

The previous prime is 89028389. The next prime is 89028403. The reversal of 89028400 is 482098.

It is not an unprimeable number, because it can be changed into a prime (89028403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4362 + ... + 14038.

Almost surely, 2^89028400 is an apocalyptic number.

89028400 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 89028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111606696).

89028400 is an abundant number, since it is smaller than the sum of its proper divisors (134184992).

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

89028400 is a wasteful number, since it uses less digits than its factorization.

89028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9718 (or 9707 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 89028400 is about 9435.4862089879. The cubic root of 89028400 is about 446.5219946805.

The spelling of 89028400 in words is "eighty-nine million, twenty-eight thousand, four hundred".