86741928 has 160 divisors (see below), whose sum is σ = 299228160. Its totient is φ = 22861440.

The previous prime is 86741923. The next prime is 86741957. The reversal of 86741928 is 82914768.

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

It is not an unprimeable number, because it can be changed into a prime (86741923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58233 + ... + 59703.

It is an arithmetic number, because the mean of its divisors is an integer number (1870176).

Almost surely, 2^86741928 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 86741928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149614080).

86741928 is an abundant number, since it is smaller than the sum of its proper divisors (212486232).

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

86741928 is a wasteful number, since it uses less digits than its factorization.

86741928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1496 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 86741928 is about 9313.5346673537. The cubic root of 86741928 is about 442.6661943956. Note that the first 3 decimals are identical.

The spelling of 86741928 in words is "eighty-six million, seven hundred forty-one thousand, nine hundred twenty-eight".