114300928 has 144 divisors (see below), whose sum is σ = 285699960. Its totient is φ = 45416448.

The previous prime is 114300917. The next prime is 114300929. The reversal of 114300928 is 829003411.

It is a happy number.

It is a super-2 number, since 2×114300928² = 26129404283322368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 114300896 and 114300905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114300929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1705951 + ... + 1706017.

Almost surely, 2^114300928 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 114300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142849980).

114300928 is an abundant number, since it is smaller than the sum of its proper divisors (171399032).

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

114300928 is an equidigital number, since it uses as much as digits as its factorization.

114300928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 114300928 is about 10691.1612091484. The cubic root of 114300928 is about 485.3070334203.

The spelling of 114300928 in words is "one hundred fourteen million, three hundred thousand, nine hundred twenty-eight".