87817128 has 64 divisors (see below), whose sum is σ = 261826560. Its totient is φ = 23998656.

The previous prime is 87817127. The next prime is 87817129. The reversal of 87817128 is 82171878.

It is an interprime number because it is at equal distance from previous prime (87817127) and next prime (87817129).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a self number, because there is not a number n which added to its sum of digits gives 87817128.

It is not an unprimeable number, because it can be changed into a prime (87817127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7500 + ... + 15227.

It is an arithmetic number, because the mean of its divisors is an integer number (4091040).

Almost surely, 2^87817128 is an apocalyptic number.

It is an amenable number.

87817128 is an abundant number, since it is smaller than the sum of its proper divisors (174009432).

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

87817128 is a wasteful number, since it uses less digits than its factorization.

87817128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22766 (or 22762 counting only the distinct ones).

The product of its digits is 50176, while the sum is 42.

The square root of 87817128 is about 9371.0793401828. The cubic root of 87817128 is about 444.4876955872.

The spelling of 87817128 in words is "eighty-seven million, eight hundred seventeen thousand, one hundred twenty-eight".