88288200 has 576 divisors, whose sum is σ = 406224000. Its totient is φ = 16934400.

The previous prime is 88288199. The next prime is 88288219. The reversal of 88288200 is 288288.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6791394 + ... + 6791406.

It is an arithmetic number, because the mean of its divisors is an integer number (705250).

Almost surely, 2^88288200 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 88288200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112000).

88288200 is an abundant number, since it is smaller than the sum of its proper divisors (317935800).

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

88288200 is a wasteful number, since it uses less digits than its factorization.

88288200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 88288200 is about 9396.1800749028. The cubic root of 88288200 is about 445.2810579832.

Multiplying 88288200 by its reverse (288288), we get a square (25452428601600 = 5045040²).

It can be divided in two parts, 88288 and 200, that added together give a palindrome (88488).

The spelling of 88288200 in words is "eighty-eight million, two hundred eighty-eight thousand, two hundred".