8728164040 has 32 divisors (see below), whose sum is σ = 19653354360. Its totient is φ = 3488601600.

The previous prime is 8728164023. The next prime is 8728164041. The reversal of 8728164040 is 404618278.

It can be written as a sum of positive squares in 4 ways, for example, as 8641189764 + 86974276 = 92958^2 + 9326^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8728163984 and 8728164002.

It is not an unprimeable number, because it can be changed into a prime (8728164041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29751 + ... + 135430.

Almost surely, 2^8728164040 is an apocalyptic number.

It is an amenable number.

8728164040 is an abundant number, since it is smaller than the sum of its proper divisors (10925190320).

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

8728164040 is a wasteful number, since it uses less digits than its factorization.

8728164040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166513 (or 166509 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 8728164040 is about 93424.6436439551. The cubic root of 8728164040 is about 2058.9270844835.

It can be divided in two parts, 87281 and 64040, that added together give a square (151321 = 389²).

The spelling of 8728164040 in words is "eight billion, seven hundred twenty-eight million, one hundred sixty-four thousand, forty".