114131628 has 36 divisors (see below), whose sum is σ = 310692928. Its totient is φ = 35117280.

The previous prime is 114131627. The next prime is 114131629. The reversal of 114131628 is 826131411.

It is a happy number.

114131628 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 31 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (114131627) and next prime (114131629).

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (114131627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121468 + ... + 122403.

Almost surely, 2^114131628 is an apocalyptic number.

114131628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114131628 is an abundant number, since it is smaller than the sum of its proper divisors (196561300).

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

114131628 is a wasteful number, since it uses less digits than its factorization.

114131628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243894 (or 243889 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 114131628 is about 10683.2405196176. The cubic root of 114131628 is about 485.0673063497.

It can be divided in two parts, 11413 and 1628, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 114131628 in words is "one hundred fourteen million, one hundred thirty-one thousand, six hundred twenty-eight".