115282944 has 132 divisors (see below), whose sum is σ = 380643744. Its totient is φ = 32919552.

The previous prime is 115282943. The next prime is 115282961. The reversal of 115282944 is 449282511.

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 = 115282899 and 115282908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115282943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63619 + ... + 65405.

Almost surely, 2^115282944 is an apocalyptic number.

115282944 is a gapful number since it is divisible by the number (14) 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 115282944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190321872).

115282944 is an abundant number, since it is smaller than the sum of its proper divisors (265360800).

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

115282944 is a wasteful number, since it uses less digits than its factorization.

115282944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1799 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 115282944 is about 10736.9895222078. The cubic root of 115282944 is about 486.6929099086.

The spelling of 115282944 in words is "one hundred fifteen million, two hundred eighty-two thousand, nine hundred forty-four".