11772828440 has 32 divisors (see below), whose sum is σ = 28047034080. Its totient is φ = 4432123392.

The previous prime is 11772828439. The next prime is 11772828443. The reversal of 11772828440 is 4482827711.

It is a junction number, because it is equal to n+sod(n) for n = 11772828391 and 11772828400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11772828443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8655812 + ... + 8657171.

It is an arithmetic number, because the mean of its divisors is an integer number (876469815).

Almost surely, 2^11772828440 is an apocalyptic number.

11772828440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11772828440 is an abundant number, since it is smaller than the sum of its proper divisors (16274205640).

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

11772828440 is a wasteful number, since it uses less digits than its factorization.

11772828440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17313011 (or 17313007 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 44.

The spelling of 11772828440 in words is "eleven billion, seven hundred seventy-two million, eight hundred twenty-eight thousand, four hundred forty".