114193728 has 168 divisors, whose sum is σ = 363748320. Its totient is φ = 33960960.

The previous prime is 114193687. The next prime is 114193759. The reversal of 114193728 is 827391411.

It is a happy number.

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 = 114193692 and 114193701.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 424378 + ... + 424646.

Almost surely, 2^114193728 is an apocalyptic number.

114193728 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 114193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181874160).

114193728 is an abundant number, since it is smaller than the sum of its proper divisors (249554592).

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

114193728 is a wasteful number, since it uses less digits than its factorization.

114193728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 114193728 is about 10686.1465458789. The cubic root of 114193728 is about 485.1552668288.

It can be divided in two parts, 114193 and 728, that added together give a square (114921 = 339²).

The spelling of 114193728 in words is "one hundred fourteen million, one hundred ninety-three thousand, seven hundred twenty-eight".