28832236832160 has 288 divisors, whose sum is σ = 99643679815680. Its totient is φ = 7591128274944.

The previous prime is 28832236832129. The next prime is 28832236832177. The reversal of 28832236832160 is 6123863223882.

28832236832160 is a `hidden beast` number, since 2 + 8 + 83 + 2 + 236 + 8 + 321 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 28832236832097 and 28832236832106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44095137 + ... + 44744223.

It is an arithmetic number, because the mean of its divisors is an integer number (345984999360).

Almost surely, 2^{28832236832160} is an apocalyptic number.

28832236832160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28832236832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49821839907840).

28832236832160 is an abundant number, since it is smaller than the sum of its proper divisors (70811442983520).

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

28832236832160 is a wasteful number, since it uses less digits than its factorization.

28832236832160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649500 (or 649489 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 28832236832160 in words is "twenty-eight trillion, eight hundred thirty-two billion, two hundred thirty-six million, eight hundred thirty-two thousand, one hundred sixty".