114828588 has 72 divisors (see below), whose sum is σ = 342451200. Its totient is φ = 31747680.

The previous prime is 114828587. The next prime is 114828589. The reversal of 114828588 is 885828411.

114828588 is a `hidden beast` number, since 1 + 1 + 48 + 28 + 588 = 666.

It is an interprime number because it is at equal distance from previous prime (114828587) and next prime (114828589).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (114828583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463 + ... + 15161.

Almost surely, 2^114828588 is an apocalyptic number.

114828588 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 114828588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171225600).

114828588 is an abundant number, since it is smaller than the sum of its proper divisors (227622612).

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

114828588 is a wasteful number, since it uses less digits than its factorization.

114828588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14747 (or 14742 counting only the distinct ones).

The product of its digits is 163840, while the sum is 45.

The square root of 114828588 is about 10715.8101886885. The cubic root of 114828588 is about 486.0526793479.

The spelling of 114828588 in words is "one hundred fourteen million, eight hundred twenty-eight thousand, five hundred eighty-eight".