114791328 has 36 divisors (see below), whose sum is σ = 326438658. Its totient is φ = 38263680.

The previous prime is 114791317. The next prime is 114791329. The reversal of 114791328 is 823197411.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 64834704 + 49956624 = 8052^2 + 7068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 114791292 and 114791301.

It is not an unprimeable number, because it can be changed into a prime (114791329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199003 + ... + 199578.

Almost surely, 2^114791328 is an apocalyptic number.

114791328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114791328 is an abundant number, since it is smaller than the sum of its proper divisors (211647330).

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

114791328 is a wasteful number, since it uses less digits than its factorization.

114791328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398597 (or 398586 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 114791328 is about 10714.0714950013. The cubic root of 114791328 is about 486.0001016105. Note that the first 3 decimals are identical.

The spelling of 114791328 in words is "one hundred fourteen million, seven hundred ninety-one thousand, three hundred twenty-eight".