114828480 has 168 divisors, whose sum is σ = 425482512. Its totient is φ = 28256256.

The previous prime is 114828451. The next prime is 114828481. The reversal of 114828480 is 84828411.

It is a happy number.

It is a super-2 number, since 2×114828480² = 26371159638220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114828481) 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, 35907 + ... + 38973.

It is an arithmetic number, because the mean of its divisors is an integer number (2532634).

Almost surely, 2^114828480 is an apocalyptic number.

114828480 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 114828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212741256).

114828480 is an abundant number, since it is smaller than the sum of its proper divisors (310654032).

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

114828480 is a wasteful number, since it uses less digits than its factorization.

114828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 114828480 is about 10715.8051494043. The cubic root of 114828480 is about 486.0525269651.

The spelling of 114828480 in words is "one hundred fourteen million, eight hundred twenty-eight thousand, four hundred eighty".