27263145728 has 288 divisors, whose sum is σ = 69425620992. Its totient is φ = 10399334400.

The previous prime is 27263145691. The next prime is 27263145737. The reversal of 27263145728 is 82754136272.

It is a super-2 number, since 2×27263145728² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87662693 + ... + 87663003.

It is an arithmetic number, because the mean of its divisors is an integer number (241061184).

Almost surely, 2^27263145728 is an apocalyptic number.

27263145728 is a gapful number since it is divisible by the number (28) 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 27263145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34712810496).

27263145728 is an abundant number, since it is smaller than the sum of its proper divisors (42162475264).

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

27263145728 is a wasteful number, since it uses less digits than its factorization.

27263145728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 457 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 47.

The spelling of 27263145728 in words is "twenty-seven billion, two hundred sixty-three million, one hundred forty-five thousand, seven hundred twenty-eight".