11779628 has 48 divisors (see below), whose sum is σ = 24987648. Its totient is φ = 4752000.

The previous prime is 11779627. The next prime is 11779633. The reversal of 11779628 is 82697711.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (11779627) 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, 35423 + ... + 35753.

It is an arithmetic number, because the mean of its divisors is an integer number (520576).

Almost surely, 2^11779628 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 11779628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12493824).

11779628 is an abundant number, since it is smaller than the sum of its proper divisors (13208020).

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

11779628 is a wasteful number, since it uses less digits than its factorization.

11779628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 412 counting only the distinct ones).

The product of its digits is 42336, while the sum is 41.

The square root of 11779628 is about 3432.1462672794. The cubic root of 11779628 is about 227.5327200050.

The spelling of 11779628 in words is "eleven million, seven hundred seventy-nine thousand, six hundred twenty-eight".