86728500 has 72 divisors (see below), whose sum is σ = 273613704. Its totient is φ = 23126400.

The previous prime is 86728493. The next prime is 86728501. The reversal of 86728500 is 582768.

86728500 is a `hidden beast` number, since 86 + 72 + 8 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1572516 + 85155984 = 1254^2 + 9228^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86728501) 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, 5137 + ... + 14136.

Almost surely, 2^86728500 is an apocalyptic number.

It is an amenable number.

86728500 is an abundant number, since it is smaller than the sum of its proper divisors (186885204).

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

86728500 is a wasteful number, since it uses less digits than its factorization.

86728500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19298 (or 19283 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 86728500 is about 9312.8137531038. The cubic root of 86728500 is about 442.6433510465.

The spelling of 86728500 in words is "eighty-six million, seven hundred twenty-eight thousand, five hundred".