86632728 has 64 divisors (see below), whose sum is σ = 266568960. Its totient is φ = 22847616.

The previous prime is 86632717. The next prime is 86632729. The reversal of 86632728 is 82723668.

It is a super-3 number, since 3×86632728³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a self number, because there is not a number n which added to its sum of digits gives 86632728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86632729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17650 + ... + 22017.

It is an arithmetic number, because the mean of its divisors is an integer number (4165140).

Almost surely, 2^86632728 is an apocalyptic number.

It is an amenable number.

86632728 is an abundant number, since it is smaller than the sum of its proper divisors (179936232).

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

86632728 is a wasteful number, since it uses less digits than its factorization.

86632728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39696 (or 39692 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 86632728 is about 9307.6703852253. The cubic root of 86632728 is about 442.4803579011.

The spelling of 86632728 in words is "eighty-six million, six hundred thirty-two thousand, seven hundred twenty-eight".