27924839040 has 256 divisors, whose sum is σ = 101875968000. Its totient is φ = 6373429248.

The previous prime is 27924839027. The next prime is 27924839057. The reversal of 27924839040 is 4093842972.

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

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 31 ways as a sum of consecutive naturals, for example, 13694341 + ... + 13696379.

It is an arithmetic number, because the mean of its divisors is an integer number (397953000).

Almost surely, 2^27924839040 is an apocalyptic number.

27924839040 is a gapful number since it is divisible by the number (20) 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 27924839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50937984000).

27924839040 is an abundant number, since it is smaller than the sum of its proper divisors (73951128960).

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

27924839040 is a wasteful number, since it uses less digits than its factorization.

27924839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 27924839040 in words is "twenty-seven billion, nine hundred twenty-four million, eight hundred thirty-nine thousand, forty".