28177755012 has 192 divisors, whose sum is σ = 82170547200. Its totient is φ = 8277500160.

The previous prime is 28177755007. The next prime is 28177755013. The reversal of 28177755012 is 21055777182.

28177755012 is a `hidden beast` number, since 2 + 8 + 1 + 77 + 75 + 501 + 2 = 666.

It is a super-2 number, since 2×28177755012² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28177755013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5113963 + ... + 5119469.

It is an arithmetic number, because the mean of its divisors is an integer number (427971600).

Almost surely, 2^28177755012 is an apocalyptic number.

28177755012 is a gapful number since it is divisible by the number (22) 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 28177755012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41085273600).

28177755012 is an abundant number, since it is smaller than the sum of its proper divisors (53992792188).

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

28177755012 is a wasteful number, since it uses less digits than its factorization.

28177755012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663 (or 5655 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 28177755012 in words is "twenty-eight billion, one hundred seventy-seven million, seven hundred fifty-five thousand, twelve".