87884085828 has 144 divisors (see below), whose sum is σ = 261539712000. Its totient is φ = 22711993920.

The previous prime is 87884085823. The next prime is 87884085833. The reversal of 87884085828 is 82858048878.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87884085823) and next prime (87884085833).

It is a super-2 number, since 2×87884085828² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (87884085823) 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 47 ways as a sum of consecutive naturals, for example, 1252993 + ... + 1321271.

It is an arithmetic number, because the mean of its divisors is an integer number (1816248000).

Almost surely, 2^87884085828 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 87884085828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130769856000).

87884085828 is an abundant number, since it is smaller than the sum of its proper divisors (173655626172).

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

87884085828 is a wasteful number, since it uses less digits than its factorization.

87884085828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68510 (or 68501 counting only the distinct ones).

The product of its (nonzero) digits is 73400320, while the sum is 66.

The spelling of 87884085828 in words is "eighty-seven billion, eight hundred eighty-four million, eighty-five thousand, eight hundred twenty-eight".