12977328 has 80 divisors (see below), whose sum is σ = 41275136. Its totient is φ = 3421440.

The previous prime is 12977317. The next prime is 12977329. The reversal of 12977328 is 82377921.

It is a super-2 number, since 2×12977328² = 336822084039168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12977329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2883 + ... + 5853.

Almost surely, 2^12977328 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 12977328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20637568).

12977328 is an abundant number, since it is smaller than the sum of its proper divisors (28297808).

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

12977328 is a wasteful number, since it uses less digits than its factorization.

12977328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002 (or 2996 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 12977328 is about 3602.4058627534. The cubic root of 12977328 is about 234.9966983088.

The spelling of 12977328 in words is "twelve million, nine hundred seventy-seven thousand, three hundred twenty-eight".