28270056672 has 768 divisors, whose sum is σ = 102473441280. Its totient is φ = 7527168000.

The previous prime is 28270056671. The next prime is 28270056673. The reversal of 28270056672 is 27665007282.

28270056672 is a `hidden beast` number, since 2 + 82 + 7 + 0 + 0 + 566 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (28270056671) and next prime (28270056673).

It is a super-2 number, since 2×28270056672² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28270056671) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 463443522 + ... + 463443582.

It is an arithmetic number, because the mean of its divisors is an integer number (133428960).

Almost surely, 2^28270056672 is an apocalyptic number.

28270056672 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 28270056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51236720640).

28270056672 is an abundant number, since it is smaller than the sum of its proper divisors (74203384608).

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

28270056672 is a wasteful number, since it uses less digits than its factorization.

28270056672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 28270056672 in words is "twenty-eight billion, two hundred seventy million, fifty-six thousand, six hundred seventy-two".