88289312 has 36 divisors (see below), whose sum is σ = 177738750. Its totient is φ = 43170816.

The previous prime is 88289309. The next prime is 88289323. The reversal of 88289312 is 21398288.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 78074896 + 10214416 = 8836^2 + 3196^2 .

It is a super-3 number, since 3×88289312³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 88289312.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70064 + ... + 71312.

Almost surely, 2^88289312 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 88289312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88869375).

88289312 is an abundant number, since it is smaller than the sum of its proper divisors (89449438).

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

88289312 is a wasteful number, since it uses less digits than its factorization.

88289312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1298 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 88289312 is about 9396.2392476990. The cubic root of 88289312 is about 445.2829274307.

The spelling of 88289312 in words is "eighty-eight million, two hundred eighty-nine thousand, three hundred twelve".