27754048 has 56 divisors (see below), whose sum is σ = 64520064. Its totient is φ = 11596800.

The previous prime is 27754039. The next prime is 27754057. The reversal of 27754048 is 84045772.

It is an interprime number because it is at equal distance from previous prime (27754039) and next prime (27754057).

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 27753998 and 27754016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17613 + ... + 19123.

It is an arithmetic number, because the mean of its divisors is an integer number (1152144).

Almost surely, 2^27754048 is an apocalyptic number.

27754048 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 27754048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32260032).

27754048 is an abundant number, since it is smaller than the sum of its proper divisors (36766016).

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

27754048 is a wasteful number, since it uses less digits than its factorization.

27754048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The square root of 27754048 is about 5268.2110815722. The cubic root of 27754048 is about 302.7671678339.

The spelling of 27754048 in words is "twenty-seven million, seven hundred fifty-four thousand, forty-eight".