87627288 has 96 divisors (see below), whose sum is σ = 256705200. Its totient is φ = 24853248.

The previous prime is 87627251. The next prime is 87627301. The reversal of 87627288 is 88272678.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316206 + ... + 316482.

Almost surely, 2^87627288 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 87627288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128352600).

87627288 is an abundant number, since it is smaller than the sum of its proper divisors (169077912).

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

87627288 is a wasteful number, since it uses less digits than its factorization.

87627288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 558 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

The square root of 87627288 is about 9360.9448241083. The cubic root of 87627288 is about 444.1671718521.

The spelling of 87627288 in words is "eighty-seven million, six hundred twenty-seven thousand, two hundred eighty-eight".