28272667356 has 360 divisors, whose sum is σ = 83098695680. Its totient is φ = 8353570176.

The previous prime is 28272667351. The next prime is 28272667369. The reversal of 28272667356 is 65376627282.

28272667356 is a `hidden beast` number, since 2 + 8 + 27 + 266 + 7 + 356 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28272667351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 222619365 + ... + 222619491.

Almost surely, 2^28272667356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28272667356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41549347840).

28272667356 is an abundant number, since it is smaller than the sum of its proper divisors (54826028324).

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

28272667356 is a wasteful number, since it uses less digits than its factorization.

28272667356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 223 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 28272667356 in words is "twenty-eight billion, two hundred seventy-two million, six hundred sixty-seven thousand, three hundred fifty-six".