27282230976 has 448 divisors, whose sum is σ = 98930764800. Its totient is φ = 6538936320.

The previous prime is 27282230971. The next prime is 27282230981. The reversal of 27282230976 is 67903228272.

It is an interprime number because it is at equal distance from previous prime (27282230971) and next prime (27282230981).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (27282230971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9415960 + ... + 9418856.

It is an arithmetic number, because the mean of its divisors is an integer number (220827600).

Almost surely, 2^27282230976 is an apocalyptic number.

27282230976 is a gapful number since it is divisible by the number (26) 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 27282230976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49465382400).

27282230976 is an abundant number, since it is smaller than the sum of its proper divisors (71648533824).

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

27282230976 is a wasteful number, since it uses less digits than its factorization.

27282230976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 27282230976 in words is "twenty-seven billion, two hundred eighty-two million, two hundred thirty thousand, nine hundred seventy-six".