89528868 has 288 divisors, whose sum is σ = 300303360. Its totient is φ = 22809600.

The previous prime is 89528861. The next prime is 89528909. The reversal of 89528868 is 86882598.

It is a super-2 number, since 2×89528868² = 16030836410722848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2211840) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89528861) 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 95 ways as a sum of consecutive naturals, for example, 2888013 + ... + 2888043.

It is an arithmetic number, because the mean of its divisors is an integer number (1042720).

Almost surely, 2^89528868 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 89528868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150151680).

89528868 is an abundant number, since it is smaller than the sum of its proper divisors (210774492).

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

89528868 is a wasteful number, since it uses less digits than its factorization.

89528868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 89528868 is about 9461.9695624114. The cubic root of 89528868 is about 447.3571309266.

The spelling of 89528868 in words is "eighty-nine million, five hundred twenty-eight thousand, eight hundred sixty-eight".