11320145928 has 240 divisors, whose sum is σ = 39240938880. Its totient is φ = 2985330816.

The previous prime is 11320145923. The next prime is 11320145951. The reversal of 11320145928 is 82954102311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11320145892 and 11320145901.

It is not an unprimeable number, because it can be changed into a prime (11320145923) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 759201 + ... + 773967.

It is an arithmetic number, because the mean of its divisors is an integer number (163503912).

Almost surely, 2^11320145928 is an apocalyptic number.

11320145928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11320145928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19620469440).

11320145928 is an abundant number, since it is smaller than the sum of its proper divisors (27920792952).

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

11320145928 is a wasteful number, since it uses less digits than its factorization.

11320145928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14818 (or 14792 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11320145928 in words is "eleven billion, three hundred twenty million, one hundred forty-five thousand, nine hundred twenty-eight".