114057828 has 192 divisors, whose sum is σ = 340139520. Its totient is φ = 32845824.

The previous prime is 114057803. The next prime is 114057857. The reversal of 114057828 is 828750411.

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 = 114057792 and 114057801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1562400 + ... + 1562472.

It is an arithmetic number, because the mean of its divisors is an integer number (1771560).

Almost surely, 2^114057828 is an apocalyptic number.

114057828 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 114057828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170069760).

114057828 is an abundant number, since it is smaller than the sum of its proper divisors (226081692).

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

114057828 is a wasteful number, since it uses less digits than its factorization.

114057828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 114057828 is about 10679.7859529112. The cubic root of 114057828 is about 484.9627321064.

The spelling of 114057828 in words is "one hundred fourteen million, fifty-seven thousand, eight hundred twenty-eight".