11977728 has 88 divisors (see below), whose sum is σ = 36551232. Its totient is φ = 3416064.

The previous prime is 11977727. The next prime is 11977739. The reversal of 11977728 is 82777911.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 11977728.

It is not an unprimeable number, because it can be changed into a prime (11977727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21226 + ... + 21782.

Almost surely, 2^11977728 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 11977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18275616).

11977728 is an abundant number, since it is smaller than the sum of its proper divisors (24573504).

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

11977728 is an equidigital number, since it uses as much as digits as its factorization.

11977728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 569 counting only the distinct ones).

The product of its digits is 49392, while the sum is 42.

The square root of 11977728 is about 3460.8854358386. The cubic root of 11977728 is about 228.8011214837.

It can be divided in two parts, 119777 and 28, that added together give a triangular number (119805 = T₄₈₉).

The spelling of 11977728 in words is "eleven million, nine hundred seventy-seven thousand, seven hundred twenty-eight".