86978528 has 144 divisors (see below), whose sum is σ = 228042864. Its totient is φ = 32256000.

The previous prime is 86978519. The next prime is 86978531. The reversal of 86978528 is 82587968.

It is a self number, because there is not a number n which added to its sum of digits gives 86978528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346403 + ... + 346653.

It is an arithmetic number, because the mean of its divisors is an integer number (1583631).

Almost surely, 2^86978528 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 86978528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114021432).

86978528 is an abundant number, since it is smaller than the sum of its proper divisors (141064336).

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

86978528 is a wasteful number, since it uses less digits than its factorization.

86978528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 290 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 53.

The square root of 86978528 is about 9326.2279620434. The cubic root of 86978528 is about 443.0683057391.

It can be divided in two parts, 869 and 78528, that added together give a palindrome (79397).

The spelling of 86978528 in words is "eighty-six million, nine hundred seventy-eight thousand, five hundred twenty-eight".