89028576 has 288 divisors, whose sum is σ = 322882560. Its totient is φ = 22643712.

The previous prime is 89028557. The next prime is 89028587. The reversal of 89028576 is 67582098.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1126905 + ... + 1126983.

It is an arithmetic number, because the mean of its divisors is an integer number (1121120).

Almost surely, 2^89028576 is an apocalyptic number.

89028576 is a gapful number since it is divisible by the number (86) 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 89028576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161441280).

89028576 is an abundant number, since it is smaller than the sum of its proper divisors (233853984).

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

89028576 is a wasteful number, since it uses less digits than its factorization.

89028576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 89028576 is about 9435.4955354767. The cubic root of 89028576 is about 446.5222889230.

The spelling of 89028576 in words is "eighty-nine million, twenty-eight thousand, five hundred seventy-six".