114240000028 has 72 divisors (see below), whose sum is σ = 253782232704. Its totient is φ = 44494984800.

The previous prime is 114240000019. The next prime is 114240000031. The reversal of 114240000028 is 820000042411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 114239999963 and 114240000008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9072625 + ... + 9085207.

It is an arithmetic number, because the mean of its divisors is an integer number (3524753232).

Almost surely, 2^114240000028 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 114240000028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126891116352).

114240000028 is an abundant number, since it is smaller than the sum of its proper divisors (139542232676).

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

114240000028 is a wasteful number, since it uses less digits than its factorization.

114240000028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16823 (or 16814 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 114240000028 its reverse (820000042411), we get a palindrome (934240042439).

The spelling of 114240000028 in words is "one hundred fourteen billion, two hundred forty million, twenty-eight", and thus it is an aban number.