87828216 has 32 divisors (see below), whose sum is σ = 250938240. Its totient is φ = 25093728.

The previous prime is 87828187. The next prime is 87828217. The reversal of 87828216 is 61282878.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (87828217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261226 + ... + 261561.

It is an arithmetic number, because the mean of its divisors is an integer number (7841820).

Almost surely, 2^87828216 is an apocalyptic number.

It is an amenable number.

87828216 is an abundant number, since it is smaller than the sum of its proper divisors (163110024).

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

87828216 is a wasteful number, since it uses less digits than its factorization.

87828216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522803 (or 522799 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 87828216 is about 9371.6709289219. The cubic root of 87828216 is about 444.5064021587.

The spelling of 87828216 in words is "eighty-seven million, eight hundred twenty-eight thousand, two hundred sixteen".