88288992 has 216 divisors, whose sum is σ = 292776120. Its totient is φ = 24998400.

The previous prime is 88288987. The next prime is 88289011. The reversal of 88288992 is 29988288.

It is a super-2 number, since 2×88288992² = 15589892216752128, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2848017 + ... + 2848047.

It is an arithmetic number, because the mean of its divisors is an integer number (1355445).

Almost surely, 2^88288992 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 88288992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146388060).

88288992 is an abundant number, since it is smaller than the sum of its proper divisors (204487128).

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

88288992 is a wasteful number, since it uses less digits than its factorization.

88288992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 76 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 88288992 is about 9396.2222195944. Note that the first 4 decimals coincide. The cubic root of 88288992 is about 445.2823894618.

The spelling of 88288992 in words is "eighty-eight million, two hundred eighty-eight thousand, nine hundred ninety-two".