114127728 has 120 divisors (see below), whose sum is σ = 348549120. Its totient is φ = 31898880.

The previous prime is 114127711. The next prime is 114127729. The reversal of 114127728 is 827721411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114127729) 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, 88593 + ... + 89871.

It is an arithmetic number, because the mean of its divisors is an integer number (2904576).

Almost surely, 2^114127728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114127728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174274560).

114127728 is an abundant number, since it is smaller than the sum of its proper divisors (234421392).

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

114127728 is a wasteful number, since it uses less digits than its factorization.

114127728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1308 counting only the distinct ones).

The product of its digits is 6272, while the sum is 33.

The square root of 114127728 is about 10683.0579891715. The cubic root of 114127728 is about 485.0617811969.

The spelling of 114127728 in words is "one hundred fourteen million, one hundred twenty-seven thousand, seven hundred twenty-eight".