27948456432 has 240 divisors, whose sum is σ = 87741134208. Its totient is φ = 8561376000.

The previous prime is 27948456373. The next prime is 27948456443. The reversal of 27948456432 is 23465484972.

It is a happy number.

27948456432 is a `hidden beast` number, since 2 + 7 + 9 + 48 + 4 + 564 + 32 = 666.

It is a super-2 number, since 2×27948456432² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12685443 + ... + 12687645.

Almost surely, 2^27948456432 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 27948456432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43870567104).

27948456432 is an abundant number, since it is smaller than the sum of its proper divisors (59792677776).

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

27948456432 is a wasteful number, since it uses less digits than its factorization.

27948456432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2472 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 27948456432 in words is "twenty-seven billion, nine hundred forty-eight million, four hundred fifty-six thousand, four hundred thirty-two".