86992128 has 108 divisors (see below), whose sum is σ = 265693428. Its totient is φ = 27279360.

The previous prime is 86992121. The next prime is 86992151. The reversal of 86992128 is 82129968.

It can be written as a sum of positive squares in 2 ways, for example, as 63489024 + 23503104 = 7968^2 + 4848^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86992121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38058 + ... + 40278.

Almost surely, 2^86992128 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 86992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132846714).

86992128 is an abundant number, since it is smaller than the sum of its proper divisors (178701300).

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

86992128 is a wasteful number, since it uses less digits than its factorization.

86992128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2243 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 86992128 is about 9326.9570600491. The cubic root of 86992128 is about 443.0913973192.

The spelling of 86992128 in words is "eighty-six million, nine hundred ninety-two thousand, one hundred twenty-eight".