87228416 has 68 divisors (see below), whose sum is σ = 191887944. Its totient is φ = 39649280.

The previous prime is 87228413. The next prime is 87228419. The reversal of 87228416 is 61482278.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (87228413) and next prime (87228419).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 87228416.

It is not an unprimeable number, because it can be changed into a prime (87228413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7929851 + ... + 7929861.

Almost surely, 2^87228416 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 87228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95943972).

87228416 is an abundant number, since it is smaller than the sum of its proper divisors (104659528).

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

87228416 is an frugal number, since it uses more digits than its factorization.

87228416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 13 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 87228416 is about 9339.6154096408. The cubic root of 87228416 is about 443.4922095630.

The spelling of 87228416 in words is "eighty-seven million, two hundred twenty-eight thousand, four hundred sixteen".