87228288 has 192 divisors, whose sum is σ = 297554400. Its totient is φ = 23998464.

The previous prime is 87228233. The next prime is 87228289. The reversal of 87228288 is 88282278.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87228289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233670 + ... + 234042.

Almost surely, 2^87228288 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 87228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148777200).

87228288 is an abundant number, since it is smaller than the sum of its proper divisors (210326112).

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

87228288 is a wasteful number, since it uses less digits than its factorization.

87228288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 87228288 is about 9339.6085571077. The cubic root of 87228288 is about 443.4919926343.

The spelling of 87228288 in words is "eighty-seven million, two hundred twenty-eight thousand, two hundred eighty-eight".