27964048 has 80 divisors (see below), whose sum is σ = 69102720. Its totient is φ = 10672128.

The previous prime is 27964039. The next prime is 27964049. The reversal of 27964048 is 84046972.

It is a self number, because there is not a number n which added to its sum of digits gives 27964048.

It is not an unprimeable number, because it can be changed into a prime (27964049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35790 + ... + 36562.

It is an arithmetic number, because the mean of its divisors is an integer number (863784).

Almost surely, 2^27964048 is an apocalyptic number.

27964048 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 27964048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34551360).

27964048 is an abundant number, since it is smaller than the sum of its proper divisors (41138672).

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

27964048 is a wasteful number, since it uses less digits than its factorization.

27964048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 27964048 is about 5288.1043862617. The cubic root of 27964048 is about 303.5288755144.

The spelling of 27964048 in words is "twenty-seven million, nine hundred sixty-four thousand, forty-eight".