27977376 has 192 divisors, whose sum is σ = 92897280. Its totient is φ = 7188480.

The previous prime is 27977353. The next prime is 27977377. The reversal of 27977376 is 67377972.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

Its product of digits (777924) is a multiple of the sum of its prime factors (147).

It is not an unprimeable number, because it can be changed into a prime (27977377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354105 + ... + 354183.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 2^27977376 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 27977376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46448640).

27977376 is an abundant number, since it is smaller than the sum of its proper divisors (64919904).

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

27977376 is a wasteful number, since it uses less digits than its factorization.

27977376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its digits is 777924, while the sum is 48.

The square root of 27977376 is about 5289.3644230663. The cubic root of 27977376 is about 303.5770896871.

The spelling of 27977376 in words is "twenty-seven million, nine hundred seventy-seven thousand, three hundred seventy-six".