89784288 has 240 divisors, whose sum is σ = 298577664. Its totient is φ = 26231040.

The previous prime is 89784269. The next prime is 89784307. The reversal of 89784288 is 88248798.

It is an interprime number because it is at equal distance from previous prime (89784269) and next prime (89784307).

It is a super-2 number, since 2×89784288² = 16122436743333888, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1340031 + ... + 1340097.

Almost surely, 2^89784288 is an apocalyptic number.

89784288 is a gapful number since it is divisible by the number (88) 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 89784288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149288832).

89784288 is an abundant number, since it is smaller than the sum of its proper divisors (208793376).

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

89784288 is a wasteful number, since it uses less digits than its factorization.

89784288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 89784288 is about 9475.4571393680. The cubic root of 89784288 is about 447.7821538654.

The spelling of 89784288 in words is "eighty-nine million, seven hundred eighty-four thousand, two hundred eighty-eight".