114828960 has 96 divisors (see below), whose sum is σ = 373427712. Its totient is φ = 29629440.

The previous prime is 114828953. The next prime is 114828971. The reversal of 114828960 is 69828411.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11022 + ... + 18738.

It is an arithmetic number, because the mean of its divisors is an integer number (3889872).

Almost surely, 2^114828960 is an apocalyptic number.

114828960 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 114828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186713856).

114828960 is an abundant number, since it is smaller than the sum of its proper divisors (258598752).

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

114828960 is a wasteful number, since it uses less digits than its factorization.

114828960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 114828960 is about 10715.8275462047. The cubic root of 114828960 is about 486.0532042212.

The spelling of 114828960 in words is "one hundred fourteen million, eight hundred twenty-eight thousand, nine hundred sixty".