87691662828 has 576 divisors, whose sum is σ = 301244106240. Its totient is φ = 21794572800.

The previous prime is 87691662803. The next prime is 87691662833. The reversal of 87691662828 is 82826619678.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 132664818 + ... + 132665478.

It is an arithmetic number, because the mean of its divisors is an integer number (522993240).

Almost surely, 2^87691662828 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 87691662828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150622053120).

87691662828 is an abundant number, since it is smaller than the sum of its proper divisors (213552443412).

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

87691662828 is a wasteful number, since it uses less digits than its factorization.

87691662828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 87691662828 in words is "eighty-seven billion, six hundred ninety-one million, six hundred sixty-two thousand, eight hundred twenty-eight".