1114837128 has 128 divisors (see below), whose sum is σ = 3212697600. Its totient is φ = 357825600.

The previous prime is 1114837081. The next prime is 1114837151. The reversal of 1114837128 is 8217384111.

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 = 1114837092 and 1114837101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2216125 + ... + 2216627.

It is an arithmetic number, because the mean of its divisors is an integer number (25099200).

Almost surely, 2^1114837128 is an apocalyptic number.

1114837128 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 1114837128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606348800).

1114837128 is an abundant number, since it is smaller than the sum of its proper divisors (2097860472).

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

1114837128 is a wasteful number, since it uses less digits than its factorization.

1114837128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 870 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 1114837128 is about 33389.1768092596. The cubic root of 1114837128 is about 1036.9006369863.

The spelling of 1114837128 in words is "one billion, one hundred fourteen million, eight hundred thirty-seven thousand, one hundred twenty-eight".