114398928 has 180 divisors, whose sum is σ = 385177728. Its totient is φ = 31570560.

The previous prime is 114398927. The next prime is 114398929. The reversal of 114398928 is 829893411.

It is an interprime number because it is at equal distance from previous prime (114398927) and next prime (114398929).

It is a super-3 number, since 3×114398928³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114398923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 218475 + ... + 218997.

Almost surely, 2^114398928 is an apocalyptic number.

114398928 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 114398928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192588864).

114398928 is an abundant number, since it is smaller than the sum of its proper divisors (270778800).

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

114398928 is a wasteful number, since it uses less digits than its factorization.

114398928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 566 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 114398928 is about 10695.7434524207. The cubic root of 114398928 is about 485.4456922634.

The spelling of 114398928 in words is "one hundred fourteen million, three hundred ninety-eight thousand, nine hundred twenty-eight".