89028672 has 56 divisors (see below), whose sum is σ = 237939072. Its totient is φ = 29376000.

The previous prime is 89028659. The next prime is 89028673. The reversal of 89028672 is 27682098.

It is a happy number.

It is a super-2 number, since 2×89028672² = 15852208876167168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89028673) 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 7 ways as a sum of consecutive naturals, for example, 17097 + ... + 21687.

It is an arithmetic number, because the mean of its divisors is an integer number (4248912).

Almost surely, 2^89028672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118969536).

89028672 is an abundant number, since it is smaller than the sum of its proper divisors (148910400).

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

89028672 is a wasteful number, since it uses less digits than its factorization.

89028672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 89028672 is about 9435.5006226485. The cubic root of 89028672 is about 446.5224494188.

The spelling of 89028672 in words is "eighty-nine million, twenty-eight thousand, six hundred seventy-two".