86863728 has 80 divisors (see below), whose sum is σ = 257483520. Its totient is φ = 24718848.

The previous prime is 86863723. The next prime is 86863747. The reversal of 86863728 is 82736868.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (86863723) 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, 140476 + ... + 141092.

It is an arithmetic number, because the mean of its divisors is an integer number (3218544).

Almost surely, 2^86863728 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 86863728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128741760).

86863728 is an abundant number, since it is smaller than the sum of its proper divisors (170619792).

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

86863728 is a wasteful number, since it uses less digits than its factorization.

86863728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1048 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 86863728 is about 9320.0712443629. The cubic root of 86863728 is about 442.8732896546.

The spelling of 86863728 in words is "eighty-six million, eight hundred sixty-three thousand, seven hundred twenty-eight".