114028800 has 108 divisors (see below), whose sum is σ = 376382160. Its totient is φ = 30402560.

The previous prime is 114028781. The next prime is 114028813. The reversal of 114028800 is 8820411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16231 + ... + 22169.

It is an arithmetic number, because the mean of its divisors is an integer number (3485020).

Almost surely, 2^114028800 is an apocalyptic number.

114028800 is a gapful number since it is divisible by the number (10) 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 114028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188191080).

114028800 is an abundant number, since it is smaller than the sum of its proper divisors (262353360).

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

114028800 is an equidigital number, since it uses as much as digits as its factorization.

114028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5968 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 114028800 is about 10678.4268504307. The cubic root of 114028800 is about 484.9215872099.

It can be divided in two parts, 11402 and 8800, that added together give a palindrome (20202).

The spelling of 114028800 in words is "one hundred fourteen million, twenty-eight thousand, eight hundred".