11012365728 has 144 divisors (see below), whose sum is σ = 38543371776. Its totient is φ = 2904353280.

The previous prime is 11012365709. The next prime is 11012365729. The reversal of 11012365728 is 82756321011.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 11012365692 and 11012365701.

It is not an unprimeable number, because it can be changed into a prime (11012365729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183888 + ... + 236303.

It is an arithmetic number, because the mean of its divisors is an integer number (267662304).

Almost surely, 2^11012365728 is an apocalyptic number.

11012365728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11012365728 is an abundant number, since it is smaller than the sum of its proper divisors (27531006048).

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

11012365728 is a wasteful number, since it uses less digits than its factorization.

11012365728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420227 (or 420216 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 11012365728 its reverse (82756321011), we get a palindrome (93768686739).

The spelling of 11012365728 in words is "eleven billion, twelve million, three hundred sixty-five thousand, seven hundred twenty-eight".