87824628 has 48 divisors (see below), whose sum is σ = 231443520. Its totient is φ = 28792800.

The previous prime is 87824599. The next prime is 87824629. The reversal of 87824628 is 82642878.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87824629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78 + ... + 13253.

It is an arithmetic number, because the mean of its divisors is an integer number (4821740).

Almost surely, 2^87824628 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 87824628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115721760).

87824628 is an abundant number, since it is smaller than the sum of its proper divisors (143618892).

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

87824628 is a wasteful number, since it uses less digits than its factorization.

87824628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13405 (or 13397 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 87824628 is about 9371.4794989905. The cubic root of 87824628 is about 444.5003490140.

The spelling of 87824628 in words is "eighty-seven million, eight hundred twenty-four thousand, six hundred twenty-eight".