28131340176 has 105 divisors (see below), whose sum is σ = 81771978529. Its totient is φ = 9371075328.

The previous prime is 28131340163. The next prime is 28131340199. The reversal of 28131340176 is 67104313182.

It is a happy number.

The square root of 28131340176 is 167724.

It is a perfect power (a square), and thus also a powerful number.

28131340176 is a `hidden beast` number, since 281 + 31 + 340 + 1 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2857971600 + 25273368576 = 53460^2 + 158976^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 28131340176.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 18113416 + ... + 18114968.

Almost surely, 2^28131340176 is an apocalyptic number.

28131340176 is the 167724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28131340176

28131340176 is an abundant number, since it is smaller than the sum of its proper divisors (53640638353).

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

28131340176 is an frugal number, since it uses more digits than its factorization.

28131340176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 28131340176 by its sum of digits (36), we get a square (1012728246336 = 1006344²).

28131340176 divided by its sum of digits (36) gives a square (781426116 = 27954²).

It can be divided in two parts, 281313 and 40176, that added together give a square (321489 = 567²).

The spelling of 28131340176 in words is "twenty-eight billion, one hundred thirty-one million, three hundred forty thousand, one hundred seventy-six".