86977728 has 168 divisors, whose sum is σ = 266273280. Its totient is φ = 27095040.

The previous prime is 86977727. The next prime is 86977733. The reversal of 86977728 is 82777968.

It is not an unprimeable number, because it can be changed into a prime (86977727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684801 + ... + 684927.

It is an arithmetic number, because the mean of its divisors is an integer number (1584960).

Almost surely, 2^86977728 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 86977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133136640).

86977728 is an abundant number, since it is smaller than the sum of its proper divisors (179295552).

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

86977728 is a wasteful number, since it uses less digits than its factorization.

86977728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 86977728 is about 9326.1850721503. The cubic root of 86977728 is about 443.0669473359.

The spelling of 86977728 in words is "eighty-six million, nine hundred seventy-seven thousand, seven hundred twenty-eight".