27752917248 has 864 divisors, whose sum is σ = 105424091136. Its totient is φ = 7094697984.

The previous prime is 27752917237. The next prime is 27752917279. The reversal of 27752917248 is 84271925772.

27752917248 is a `hidden beast` number, since 2 + 7 + 7 + 529 + 1 + 72 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 27752917194 and 27752917203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170263215 + ... + 170263377.

It is an arithmetic number, because the mean of its divisors is an integer number (122018624).

Almost surely, 2^27752917248 is an apocalyptic number.

27752917248 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 27752917248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52712045568).

27752917248 is an abundant number, since it is smaller than the sum of its proper divisors (77671173888).

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

27752917248 is a wasteful number, since it uses less digits than its factorization.

27752917248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 215 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 27752917248 in words is "twenty-seven billion, seven hundred fifty-two million, nine hundred seventeen thousand, two hundred forty-eight".